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RECIPROCAL GAMMA-FUNCTION

  • Reciprocal gamma function
  • Mathematical function

    reciprocal gamma function is the function f ( z ) = 1 Γ ( z ) , {\displaystyle f(z)={\frac {1}{\Gamma (z)}},} where Γ(z) denotes the gamma function.

    Reciprocal gamma function

    Reciprocal gamma function

    Reciprocal_gamma_function

  • Gamma function
  • Extension of the factorial function

    the gamma function has no zeros, its reciprocal 1 Γ {\displaystyle {\frac {1}{\Gamma }}} is an entire function. In fact, the gamma function corresponds

    Gamma function

    Gamma function

    Gamma_function

  • Inverse gamma function
  • Inverse of the gamma function

    mathematics, the inverse gamma function Γ − 1 ( x ) {\displaystyle \Gamma ^{-1}(x)} is the inverse function of the gamma function. In other words, y = Γ

    Inverse gamma function

    Inverse gamma function

    Inverse_gamma_function

  • Entire function
  • Function that is holomorphic on the whole complex plane

    sigma function. Other examples include the Fresnel integrals, the Jacobi theta function, and the reciprocal Gamma function. The exponential function and

    Entire function

    Entire_function

  • Inverse-gamma distribution
  • Two-parameter family of continuous probability distributions

    distribution of the reciprocal of a variable distributed according to the gamma distribution. Perhaps the chief use of the inverse gamma distribution is in

    Inverse-gamma distribution

    Inverse-gamma distribution

    Inverse-gamma_distribution

  • Beta function
  • Mathematical function

    the beta function, also called the Euler integral of the first kind, is a special function that is closely related to the gamma function and to binomial

    Beta function

    Beta function

    Beta_function

  • Particular values of the gamma function
  • Mathematical constants

    The gamma function is an important special function in mathematics. Its particular values can be expressed in closed form for integer, half-integer, and

    Particular values of the gamma function

    Particular_values_of_the_gamma_function

  • Fransén–Robinson constant
  • Mathematical constant

    mathematical constant that represents the area between the graph of the reciprocal Gamma function, 1/Γ(x), and the positive x axis. That is, F = ∫ 0 ∞ 1 Γ ( x )

    Fransén–Robinson constant

    Fransén–Robinson constant

    Fransén–Robinson_constant

  • Incomplete gamma function
  • Types of special mathematical functions

    In mathematics, the upper and lower incomplete gamma functions are types of special functions which arise as solutions to various mathematical problems

    Incomplete gamma function

    Incomplete gamma function

    Incomplete_gamma_function

  • Riemann zeta function
  • Analytic function in mathematics

    {d} x} is the gamma function. The Riemann zeta function is defined for other complex values via analytic continuation of the function defined for σ >

    Riemann zeta function

    Riemann zeta function

    Riemann_zeta_function

  • Theta function
  • Special functions of several complex variables

    {\sqrt[{4}]{\pi }}{\Gamma \left({\frac {3}{4}}\right)}}{\sqrt[{3}]{{\sqrt[{4}]{2}}+{\sqrt[{4}]{18}}+{\sqrt[{4}]{216}}}}\end{aligned}}} If the reciprocal of the Gelfond

    Theta function

    Theta function

    Theta_function

  • Bessel–Clifford function
  • the entire function defined by means of the reciprocal gamma function, then the Bessel–Clifford function is defined by the series C n ( z ) = ∑ k = 0

    Bessel–Clifford function

    Bessel–Clifford function

    Bessel–Clifford_function

  • Holomorphic function
  • Complex-differentiable (mathematical) function

    {\displaystyle \mathbb {C} \smallsetminus \{0\}} ⁠. (The reciprocal function, and any other rational function, is meromorphic on ⁠ C {\displaystyle \mathbb {C}

    Holomorphic function

    Holomorphic function

    Holomorphic_function

  • Onsager reciprocal relations
  • Relations between flows and forces, or gradients, in thermodynamic systems

    In thermodynamics, the Onsager reciprocal relations express the equality of certain ratios between flows and forces in thermodynamic systems out of equilibrium

    Onsager reciprocal relations

    Onsager reciprocal relations

    Onsager_reciprocal_relations

  • Gamma correction
  • Image luminance mapping function

    color use gamma 2.8. In most computer display systems, images are encoded with a gamma of about 0.45 and decoded with the reciprocal gamma of 2.2. A notable

    Gamma correction

    Gamma_correction

  • List of mathematical functions
  • function, Polygamma function Incomplete beta function Incomplete gamma function K-function Multivariate gamma function: A generalization of the Gamma

    List of mathematical functions

    List_of_mathematical_functions

  • Sine and cosine
  • Fundamental trigonometric functions

    ratio between the adjacent and opposite sides, a reciprocal of a tangent function. These functions can be formulated as: tan ⁡ ( θ ) = sin ⁡ ( θ ) cos

    Sine and cosine

    Sine and cosine

    Sine_and_cosine

  • Infinite product
  • Mathematical concept

    result concerning infinite products is that every entire function f(z) (that is, every function that is holomorphic over the entire complex plane) can be

    Infinite product

    Infinite_product

  • Polygamma function
  • Meromorphic function

    \mathbb {C} } defined as the (m + 1)th derivative of the logarithm of the gamma function: ψ ( m ) ( z ) := d m d z m ψ ( z ) = d m + 1 d z m + 1 ln ⁡ Γ ( z )

    Polygamma function

    Polygamma function

    Polygamma_function

  • Transcendental function
  • Analytic function that does not satisfy a polynomial equation

    logarithm and inverse trigonometric functions. All special functions such as the gamma, error, bessel, and Riemann zeta functions are transcendental. Equations

    Transcendental function

    Transcendental_function

  • Generating function transformation
  • Operation on formal power series

    factorial function example given immediately below in this section. The last integral formula is compared to Hankel's loop integral for the reciprocal gamma function

    Generating function transformation

    Generating_function_transformation

  • Nu function
  • Mathematical function

    In mathematics, the nu function is a generalization of the reciprocal gamma function of the Laplace transform. Formally, it can be defined as ν ( x )

    Nu function

    Nu_function

  • Euler's constant
  • Difference between logarithm and harmonic series

    {\displaystyle \gamma } can also be expressed in terms of the sum of the reciprocals of non-trivial zeros ρ {\displaystyle \rho } of the zeta function: γ = log

    Euler's constant

    Euler's constant

    Euler's_constant

  • Inverse distribution
  • Probability theory

    distribution of the reciprocal, Y = 1 / X. If the distribution of X is continuous with density function f(x) and cumulative distribution function F(x), then the

    Inverse distribution

    Inverse_distribution

  • Quantile function
  • Statistical function that defines the quantiles of a probability distribution

    prescribing a probability distribution. It is the reciprocal of the pdf composed with the quantile function. Consider a statistical application where a user

    Quantile function

    Quantile function

    Quantile_function

  • Sinc function
  • Special mathematical function defined as sin(x)/x

    }\left(1-{\frac {x^{2}}{n^{2}}}\right)} and is related to the gamma function Γ(x), as well as to Gauss' Pi function, through Euler's reflection formula: sin ⁡ ( π x

    Sinc function

    Sinc function

    Sinc_function

  • Factorial
  • Product of numbers from 1 to n

    factorial function to a continuous function of complex numbers, except at the negative integers, the (offset) gamma function. Many other notable functions and

    Factorial

    Factorial

  • Beta distribution
  • Probability distribution

    -1}\end{aligned}}} where Γ ( z ) {\displaystyle \Gamma (z)} is the gamma function. The beta function, B {\displaystyle \mathrm {B} } , is a normalization

    Beta distribution

    Beta distribution

    Beta_distribution

  • Poisson distribution
  • Discrete probability distribution

    using the lgamma function in the C standard library (C99 version) or R, the gammaln function in MATLAB or SciPy, or the log_gamma function in Fortran 2008

    Poisson distribution

    Poisson distribution

    Poisson_distribution

  • List of sums of reciprocals
  • mathematics and number theory, the sum of reciprocals (or sum of inverses) is defined as the sum of reciprocals of some series of positive integers (counting

    List of sums of reciprocals

    List_of_sums_of_reciprocals

  • Euler's totient function
  • Number of integers coprime to and less than n

    {\displaystyle \gamma } is Euler's constant and p 120569 # {\displaystyle p_{120569}\#} is the product of the first 120569 primes. Carmichael function (λ) Dedekind

    Euler's totient function

    Euler's totient function

    Euler's_totient_function

  • Hyperbolic absolute risk aversion
  • W ) {\displaystyle T(W)} —the reciprocal of absolute risk aversion A ( W ) {\displaystyle A(W)} —is a linear function of wealth W: T ( W ) = 1 A ( W

    Hyperbolic absolute risk aversion

    Hyperbolic_absolute_risk_aversion

  • Particular values of the Riemann zeta function
  • Constants of the mathematical zeta function

    /4)}}-{\frac {\Gamma '(1/2)}{\Gamma (1/2)}}=\log(2\pi )+{\frac {\pi }{2}}+2\log 2+\gamma \,.} The following sums can be derived from the generating function: ∑ k

    Particular values of the Riemann zeta function

    Particular values of the Riemann zeta function

    Particular_values_of_the_Riemann_zeta_function

  • Polylogarithm
  • Special mathematical function

    (Vepstas 2008). Bose integral is result of multiplication between Gamma function and Zeta function. One can begin with equation for Bose integral, then use series

    Polylogarithm

    Polylogarithm

    Polylogarithm

  • Laguerre–Pólya class
  • {z}{((m-{\frac {1}{2}})\pi )^{2}}}\right)} Another example is the reciprocal gamma function 1/Γ(z). It is the limit of polynomials as follows: 1 / Γ ( z )

    Laguerre–Pólya class

    Laguerre–Pólya_class

  • Basel problem
  • Sum of inverse squares of natural numbers

    the problem. The Basel problem asks for the precise summation of the reciprocals of the squares of the natural numbers, i.e. the precise sum of the infinite

    Basel problem

    Basel problem

    Basel_problem

  • Lorentz factor
  • Quantity in relativistic physics

    definition, some authors define the reciprocal α = 1 γ = 1 − v 2 c 2   = 1 − β 2 ; {\displaystyle \alpha ={\frac {1}{\gamma }}={\sqrt {1-{\frac {v^{2}}{c^{2}}}}}\

    Lorentz factor

    Lorentz_factor

  • List of trigonometric identities
  • α + β + γ = 180 ∘ , {\displaystyle \alpha +\beta +\gamma =180^{\circ },} as long as the functions occurring in the formulae are well-defined (the latter

    List of trigonometric identities

    List of trigonometric identities

    List_of_trigonometric_identities

  • Jacobi elliptic functions
  • Mathematical function

    Reversing the order of the two letters of the function name results in the reciprocals of the three functions above: ns ⁡ ( u ) = 1 sn ⁡ ( u ) , nc ⁡ ( u

    Jacobi elliptic functions

    Jacobi_elliptic_functions

  • Totient summatory function
  • Arithmetic function

    the Riemann zeta function evaluated at 2, which is π 2 6 {\displaystyle {\frac {\pi ^{2}}{6}}} . The summatory function of the reciprocal of the totient

    Totient summatory function

    Totient_summatory_function

  • Green's function for the three-variable Laplace equation
  • Partial differential equations

    {x} )} . The free-space Green's function for the Laplace operator in three variables is given in terms of the reciprocal distance between two points and

    Green's function for the three-variable Laplace equation

    Green's_function_for_the_three-variable_Laplace_equation

  • Characteristic function (probability theory)
  • Fourier transform of the probability density function

    Zeyang; Xiang, Min; Mandic, Danilo (2020). "Reciprocal Adversarial Learning via Characteristic Functions". Advances in Neural Information Processing Systems

    Characteristic function (probability theory)

    Characteristic function (probability theory)

    Characteristic_function_(probability_theory)

  • Analytic function
  • Type of function in mathematics

    special functions are analytic on a suitable domain: hypergeometric functions on suitable domains Bessel functions on suitable domains The gamma function away

    Analytic function

    Analytic function

    Analytic_function

  • Erlang distribution
  • Family of continuous probability distributions

    {\gamma (k,\lambda x)}{\Gamma (k)}}={\frac {\gamma (k,\lambda x)}{(k-1)!}},} where γ {\displaystyle \gamma } is the lower incomplete gamma function and

    Erlang distribution

    Erlang distribution

    Erlang_distribution

  • Normal distribution
  • Probability distribution

    the Fox–Wright Psi function. Normally distributed and uncorrelated does not imply independent Ratio normal distribution Reciprocal normal distribution

    Normal distribution

    Normal distribution

    Normal_distribution

  • Indicator function (complex analysis)
  • Notion from the theory of entire functions

    )\right|} Another easily deducible indicator function is that of the reciprocal Gamma function. However, this function is of infinite type (and of order ρ =

    Indicator function (complex analysis)

    Indicator_function_(complex_analysis)

  • Pi
  • Number, approximately 3.14

    with the identity Γ ( n ) = ( n − 1 ) ! {\displaystyle \Gamma (n)=(n-1)!} . When the gamma function is evaluated at half-integers, the result is naturally

    Pi

    Pi

  • Meissel–Mertens constant
  • Mathematical constant

    $3.14159 billion (π). Divergence of the sum of the reciprocals of the primes Prime zeta function "Google's strange bids for Nortel patents". FinancialPost

    Meissel–Mertens constant

    Meissel–Mertens constant

    Meissel–Mertens_constant

  • Bloch's theorem
  • Fundamental theorem in condensed matter physics

    (k + K), where K is any reciprocal lattice vector (see figure at right). Therefore, wave vectors that differ by a reciprocal lattice vector are equivalent

    Bloch's theorem

    Bloch's theorem

    Bloch's_theorem

  • Stirling's approximation
  • Approximation for factorials

    = Γ ( n + 1 ) , {\displaystyle n!=\Gamma (n+1),} where Γ denotes the gamma function. However, the gamma function, unlike the factorial, is more broadly

    Stirling's approximation

    Stirling's approximation

    Stirling's_approximation

  • Heine's identity
  • Fourier expansion of a reciprocal square root

    identity, named after Heinrich Eduard Heine is a Fourier expansion of a reciprocal square root which Heine presented as 1 z − cos ⁡ ψ = 2 π ∑ m = − ∞ ∞ Q

    Heine's identity

    Heine's_identity

  • Binomial coefficient
  • Number of subsets of a given size

    generalized to two real or complex valued arguments using the gamma function or beta function via ( x y ) = Γ ( x + 1 ) Γ ( y + 1 ) Γ ( x − y + 1 ) = 1 (

    Binomial coefficient

    Binomial coefficient

    Binomial_coefficient

  • Apéry's constant
  • Sum of the inverses of the positive cubes

    spanning trees and in conjunction with the gamma function when solving certain integrals involving exponential functions in a quotient, which appear occasionally

    Apéry's constant

    Apéry's_constant

  • Generating function
  • Formal power series

    special functions and enumerate partition functions. In particular, we recall that the partition function p(n) is generated by the reciprocal infinite

    Generating function

    Generating_function

  • Brillouin zone
  • Primitive cell in the reciprocal space lattice of crystals

    primitive cell in reciprocal space. In the same way the Bravais lattice is divided up into Wigner–Seitz cells in the real lattice, the reciprocal lattice is

    Brillouin zone

    Brillouin zone

    Brillouin_zone

  • Negative binomial distribution
  • Probability distribution

    {(k+r-1)(k+r-2)\dotsm (r)}{k!}}={\frac {\Gamma (k+r)}{k!\ \Gamma (r)}}=\left(\!\!{r \choose k}\!\!\right).} Note that Γ(r) is the Gamma function, and ( ( r k ) ) {\displaystyle

    Negative binomial distribution

    Negative binomial distribution

    Negative_binomial_distribution

  • Greek letters used in mathematics, science, and engineering
  • Symbols for constants, special functions

    optical mode in a waveguide the gamma function, a generalization of the factorial the upper incomplete gamma function the modular group, the group of

    Greek letters used in mathematics, science, and engineering

    Greek_letters_used_in_mathematics,_science,_and_engineering

  • Stieltjes constants
  • Constants in the zeta function's Laurent series expansion

    the numbers γ k {\displaystyle \gamma _{k}} that occur in the Laurent series expansion of the Riemann zeta function: ζ ( 1 + s ) = 1 s + ∑ n = 0 ∞ (

    Stieltjes constants

    Stieltjes constants

    Stieltjes_constants

  • Harmonic number
  • Sum of the first n whole number reciprocals; 1/1 + 1/2 + 1/3 + ... + 1/n

    In mathematics, the n-th harmonic number is the sum of the reciprocals of the first n natural numbers: H n = 1 + 1 2 + 1 3 + ⋯ + 1 n = ∑ k = 1 n 1 k

    Harmonic number

    Harmonic number

    Harmonic_number

  • List of mathematical series
  • Riemann zeta function. Γ ( z ) {\displaystyle \Gamma (z)} is the gamma function. ψ n ( z ) {\displaystyle \psi _{n}(z)} is a polygamma function. Li s ⁡ (

    List of mathematical series

    List_of_mathematical_series

  • Schwarz triangle function
  • Conformal mappings in complex analysis

    (1-a')\Gamma (b)\Gamma (c')}{\Gamma (1-a)\Gamma (b')\Gamma (c)}},\end{aligned}}} where Γ ( x ) {\textstyle \Gamma (x)} is the gamma function. Near each

    Schwarz triangle function

    Schwarz triangle function

    Schwarz_triangle_function

  • Relationships among probability distributions
  • Topic in probability theory and statistics

    parameter p. A gamma distribution with shape parameter α = 1 and rate parameter β is an exponential distribution with rate parameter β. A gamma distribution

    Relationships among probability distributions

    Relationships among probability distributions

    Relationships_among_probability_distributions

  • Heat capacity ratio
  • Thermodynamic quantity

    {\begin{aligned}&C_{P}={\frac {\gamma R}{\gamma -1}},&&C_{V}={\frac {R}{\gamma -1}}\\&\gamma ={\frac {C_{P}}{C_{P}-R}},&&\gamma =1+{\frac {R}{C_{V}}}\end{aligned}}}

    Heat capacity ratio

    Heat capacity ratio

    Heat_capacity_ratio

  • Scattering parameters
  • Values which describe behavior of a linear electric circuit

    \\a_{n}\end{pmatrix}}} A network will be reciprocal if it is passive and it contains only reciprocal materials that influence the transmitted signal

    Scattering parameters

    Scattering_parameters

  • Curvature
  • Mathematical measure of how much a curve or surface deviates from flatness

    is parametrized by arc length is a vector-valued function that is denoted by the Greek letter gamma with an overbar, –γ, that describes the position of

    Curvature

    Curvature

    Curvature

  • Differentiation rules
  • Rules for computing derivatives of functions

    the reciprocal rule. The elementary power rule generalizes considerably. The most general power rule is the functional power rule: for any functions f {\textstyle

    Differentiation rules

    Differentiation_rules

  • Logarithm
  • Mathematical function, inverse of an exponential function

    rely on the exponential function or any trigonometric functions; the definition is in terms of an integral of a simple reciprocal. As an integral, ln(t)

    Logarithm

    Logarithm

    Logarithm

  • Limit (mathematics)
  • Value approached by a mathematical object

    trajectory to be a function γ : R → X {\displaystyle \gamma :\mathbb {R} \rightarrow X} , the point γ ( t ) {\displaystyle \gamma (t)} is thought of as

    Limit (mathematics)

    Limit_(mathematics)

  • Hertz
  • SI unit of frequency

    units is 1/s or s−1, meaning that one hertz is one per second or the reciprocal of one second. It is used only in the case of periodic events. It is named

    Hertz

    Hertz

    Hertz

  • Time dilation
  • Measured time difference as explained by relativity theory

    {\displaystyle v(t)={\frac {gt+v_{0}\gamma _{0}}{\sqrt {1+{\frac {\left(gt+v_{0}\gamma _{0}\right)^{2}}{c^{2}}}}}}} Proper time as function of coordinate time: τ (

    Time dilation

    Time_dilation

  • Variance function
  • Smooth function in statistics

    for Normal, Bernoulli, Poisson, and Gamma. In addition, we describe the applications and use of variance functions in maximum likelihood estimation and

    Variance function

    Variance_function

  • Lemniscate elliptic functions
  • Mathematical functions

    {2}}\pi ^{\frac {3}{2}}}{2\left(\Gamma \left({\frac {3}{4}}\right)\right)^{2}}}=2.62205\ldots } The lemniscate functions satisfy the basic relation cl ⁡

    Lemniscate elliptic functions

    Lemniscate elliptic functions

    Lemniscate_elliptic_functions

  • Antiderivative (complex analysis)
  • Concept in complex analysis

    holomorphic functions of a complex variable. For example, consider the reciprocal function, g(z) = 1/z which is holomorphic on the punctured plane C\{0}. A

    Antiderivative (complex analysis)

    Antiderivative (complex analysis)

    Antiderivative_(complex_analysis)

  • Fréchet distribution
  • Continuous probability distribution

    \ \mu _{k}=\Gamma \left(1-{\frac {k}{\alpha }}\right)\ } where   Γ ( z )   {\displaystyle \ \Gamma \left(z\right)\ } is the Gamma function. In particular:

    Fréchet distribution

    Fréchet distribution

    Fréchet_distribution

  • Inverse-chi-squared distribution
  • Probability distribution

    Further, Γ {\displaystyle \Gamma } is the gamma function. The inverse chi-squared distribution is a special case of the inverse-gamma distribution. with shape

    Inverse-chi-squared distribution

    Inverse-chi-squared distribution

    Inverse-chi-squared_distribution

  • Exponential family
  • Family of probability distributions related to the normal distribution

    first need to expand the part of the log-partition function that involves the multivariate gamma function: log ⁡ Γ p ( a ) = log ⁡ ( π p ( p − 1 ) 4 ∏ j =

    Exponential family

    Exponential_family

  • Indefinite sum
  • Inverse of a finite difference

    the Gamma function: ∑ x Γ ( x + 1 ) Γ ( x − n + 1 ) = Γ ( x + 1 ) ( n + 1 ) Γ ( x − n ) + C ( x ) , n ≠ − 1. {\displaystyle \sum _{x}{\frac {\Gamma

    Indefinite sum

    Indefinite sum

    Indefinite_sum

  • Green–Kubo relations
  • Equation relating transport coefficients to correlation functions

    transport coefficient γ {\displaystyle \gamma } in terms of the integral of the equilibrium time correlation function of the time derivative of a corresponding

    Green–Kubo relations

    Green–Kubo_relations

  • Fourier series
  • Decomposition of periodic functions

    {\displaystyle {\tfrac {n}{P}}} in the reciprocal units of x {\displaystyle x} . These series can represent functions that are just a sum of one or more frequencies

    Fourier series

    Fourier series

    Fourier_series

  • List of probability distributions
  • cosine distribution on [ μ − s , μ + s {\displaystyle \mu -s,\mu +s} ] The reciprocal distribution The triangular distribution on [a, b], a special case of

    List of probability distributions

    List_of_probability_distributions

  • Curvature renormalization group method
  • momentum space, where G {\displaystyle {\bf {G}}} is a reciprocal lattice vector, the curvature function typically displays a Lorentzian shape F ( k 0 + δ

    Curvature renormalization group method

    Curvature_renormalization_group_method

  • Multidimensional sampling
  • and Γ {\displaystyle \Gamma } the corresponding reciprocal lattice. The theorem of Petersen and Middleton states that a function f ( ⋅ ) {\displaystyle

    Multidimensional sampling

    Multidimensional_sampling

  • Birnbaum–Saunders distribution
  • {1}{x}}}}{2\gamma x}}\phi \left({\frac {{\sqrt {x}}-{\sqrt {\frac {1}{x}}}}{\gamma }}\right)\quad x>0;\gamma >0} Since the general form of probability functions can

    Birnbaum–Saunders distribution

    Birnbaum–Saunders_distribution

  • Double factorial
  • Mathematical function

    {\displaystyle \Gamma (z)} is the gamma function. The final expression is defined for all complex numbers except the negative even integers, and its reciprocal is

    Double factorial

    Double factorial

    Double_factorial

  • Propagator
  • Function in quantum field theory showing probability amplitudes of moving particles

    {1}{2}}(\gamma _{\mu }p^{\mu }\gamma _{\nu }p^{\nu }+\gamma _{\nu }p^{\nu }\gamma _{\mu }p^{\mu })\\[6pt]&={\tfrac {1}{2}}(\gamma _{\mu }\gamma _{\nu }+\gamma

    Propagator

    Propagator

    Propagator

  • Radius of curvature
  • Radius of the circle which best approximates a curve at a given point

    In differential geometry, the radius of curvature, R, is the reciprocal of the curvature. For a curve, it equals the radius of the circular arc which best

    Radius of curvature

    Radius of curvature

    Radius_of_curvature

  • Q-Pochhammer symbol
  • Concept in combinatorics (part of mathematics)

    The reciprocal of the function ( q ) ∞ := ( q ; q ) ∞ {\displaystyle (q)_{\infty }:=(q;q)_{\infty }} similarly arises as the generating function for the

    Q-Pochhammer symbol

    Q-Pochhammer_symbol

  • Miller index
  • Notation system for crystal lattice planes

    based on the fact that a reciprocal lattice vector g (the vector indicating a reciprocal lattice point from the reciprocal lattice origin) is the wavevector

    Miller index

    Miller index

    Miller_index

  • Feynman diagram
  • Pictorial representation of the behavior of subatomic particles

    }}\int d^{4}x\,d^{4}x'\,T{\bar {\psi }}(x)\,\gamma ^{\mu }\,\psi (x)\,A_{\mu }(x)\,{\bar {\psi }}(x')\,\gamma ^{\nu }\,\psi (x')\,A_{\nu }(x').\;} The Wick's

    Feynman diagram

    Feynman diagram

    Feynman_diagram

  • Adiabatic process
  • Thermodynamic process in which no mass or heat is exchanged with surroundings

    {\begin{aligned}W&=P_{1}\ V_{1}^{\gamma }\ {\frac {V_{2}^{1-\gamma }-V_{1}^{1-\gamma }}{1-\gamma }}\\[1ex]&={\frac {P_{2}\ V_{2}-P_{1}\ V_{1}}{1-\gamma }}.\end{aligned}}}

    Adiabatic process

    Adiabatic process

    Adiabatic_process

  • Spatial frequency
  • Characteristic of any structure that is periodic across a position in space

    repeat per unit of distance. The SI unit of spatial frequency is the reciprocal metre (m−1), although cycles per meter (c/m) is also common. In image-processing

    Spatial frequency

    Spatial frequency

    Spatial_frequency

  • Autoregressive model
  • Representation of a type of random process

    {\begin{bmatrix}\gamma _{1}\\\gamma _{2}\\\gamma _{3}\\\vdots \\\gamma _{p}\\\end{bmatrix}}={\begin{bmatrix}\gamma _{0}&\gamma _{-1}&\gamma _{-2}&\cdots \\\gamma _{1}&\gamma

    Autoregressive model

    Autoregressive_model

  • Tweedie distribution
  • Family of probability distributions

    )].} Here the minus exponent in τ−1(μ) denotes an inverse function rather than a reciprocal. The mean and variance of an additive random variable is then

    Tweedie distribution

    Tweedie_distribution

  • Gauss–Kuzmin–Wirsing operator
  • Mathematical concept

    Gauss map that takes a positive number to the fractional part of its reciprocal. (This is not the same as the Gauss map in differential geometry.) It

    Gauss–Kuzmin–Wirsing operator

    Gauss–Kuzmin–Wirsing_operator

  • Hermite polynomials
  • Polynomial sequence

    {\displaystyle {\begin{aligned}H_{n}(\gamma x)&=\sum _{i=0}^{\left\lfloor {\tfrac {n}{2}}\right\rfloor }\gamma ^{n-2i}(\gamma ^{2}-1)^{i}{\binom {n}{2i}}{\frac

    Hermite polynomials

    Hermite_polynomials

  • Temperature
  • Physical quantity of hot and cold

    stating its entropy S as a function of its internal energy U, and other state variables V, N, with S = S (U, V, N), then the reciprocal of the temperature is

    Temperature

    Temperature

    Temperature

  • Elliptic integral
  • Special function defined by an integral

    derivative of the circle function is the negative product of the identical mapping function and the reciprocal of the circle function: d d ε 1 − ε 2 = − ε

    Elliptic integral

    Elliptic_integral

  • Gregory coefficients
  • Rational numbers in a reciprocal logarithm

    Gregory coefficients Gn, also known as reciprocal logarithmic numbers, Bernoulli numbers of the second kind, or Cauchy numbers of the first kind, are the

    Gregory coefficients

    Gregory_coefficients

  • Berry connection and curvature
  • Concept in physics

    wavevector in the reciprocal-space (Brillouin zone), and u n k ( r ) {\displaystyle u_{n\mathbf {k} }(\mathbf {r} )} is a periodic function of r {\displaystyle

    Berry connection and curvature

    Berry_connection_and_curvature

  • Poisson summation formula
  • Equation in Fourier analysis

    ixf}dx.} Then S ( f ) {\displaystyle S(f)} is also a Schwartz function, and we have the reciprocal relationship that s ( x ) = ∫ − ∞ ∞ S ( f ) e 2 π i x f d

    Poisson summation formula

    Poisson_summation_formula

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  • Gamya
  • Girl/Female

    Hindu, Indian, Kannada, Telugu

    Gamya

    Beautiful; A Destiny

    Gamya

  • Mammen
  • Surname or Lastname

    German

    Mammen

    German : East Frisian patronymic from the nursery name Mamme, linked to Middle High German mamme, memme ‘mother’s breast’ (Latin mamma).English (of Norman origin) : from the Old French personal name Maismon, Maimon, of unknown etymology.Indian (Kerala) : variant of Thomas among Kerala Christians, with the Tamil-Malayalam third person masculine singular suffix -n. It is only found as a personal name in Kerala, but in the U.S. has come to be used as a family name among Kerala Christians.

    Mammen

  • Jenner
  • Surname or Lastname

    English (chiefly Kent and Sussex)

    Jenner

    English (chiefly Kent and Sussex) : occupational name for a designer or engineer, from a Middle English reduced form of Old French engineor ‘contriver’ (a derivative of engaigne ‘cunning’, ‘ingenuity’, ‘stratagem’, ‘device’). Engineers in the Middle Ages were primarily designers and builders of military machines, although in peacetime they might turn their hands to architecture and other more pacific functions.German : from the Latin personal name Januarius (see January 1). Jänner is a South German word for ‘January’, and so it is possible that this is one of the surnames acquired from words denoting months of the year, for example by converts who had been baptized in that month, people who were born or baptized in that month, or people whose taxes were due in January.

    Jenner

  • Gamya | கம்யா
  • Girl/Female

    Tamil

    Gamya | கம்யா

    Beautiful, A destiny

    Gamya | கம்யா

  • Gemma
  • Girl/Female

    African, American, Australian, British, Chinese, Christian, Danish, Dutch, English, French, German, Irish, Italian, Jamaican, Latin

    Gemma

    Jewel; Precious Stone; Gem

    Gemma

  • Amma
  • Girl/Female

    Norse

    Amma

    Grandmother.

    Amma

  • Kamma
  • Girl/Female

    Danish, Indian, Latin, Sanskrit, Swedish

    Kamma

    Loveable; Desire

    Kamma

  • Amma
  • Boy/Male

    Indian

    Amma

    Supreme god.

    Amma

  • GEMMA
  • Female

    English

    GEMMA

    Italian name GEMMA means "precious stone."

    GEMMA

  • Tamma
  • Girl/Female

    Hebrew

    Tamma

    Without flaw.

    Tamma

  • JEMMA
  • Female

    English

    JEMMA

    Variant spelling of Italian Gemma, JEMMA means "precious stone."

    JEMMA

  • Damma
  • Girl/Female

    Gujarati, Hindu, Indian

    Damma

    The Soothing Voice

    Damma

  • Farqadin
  • Boy/Male

    Arabic

    Farqadin

    Two Bright Stars Near the Pole; Beta and Gama in Ursa Minor

    Farqadin

  • Samma
  • Girl/Female

    Arabic, Indian, Kashmiri

    Samma

    Beautiful Sky

    Samma

  • Gates
  • Surname or Lastname

    English

    Gates

    English : topographic name for someone who lived by the gates of a medieval walled town. The Middle English singular gate is from the Old English plural, gatu, of geat ‘gate’ (see Yates). Since medieval gates were normally arranged in pairs, fastened in the center, the Old English plural came to function as a singular, and a new Middle English plural ending in -s was formed. In some cases the name may refer specifically to the Sussex place Eastergate (i.e. ‘eastern gate’), known also as Gates in the 13th and 14th centuries, when surnames were being acquired.Americanized spelling of German Götz (see Goetz).Translated form of French Barrière (see Barriere).In New England, Gates was the preferred English version of the name of an extensive French family, called Barrière dit Langevin.

    Gates

  • Tamma
  • Girl/Female

    Australian, French, Hebrew

    Tamma

    Without Flaw; Palm Tree; Perfect

    Tamma

  • Amma
  • Boy/Male

    African, British, English, Indian

    Amma

    Mother; God-like

    Amma

  • Gammon
  • Surname or Lastname

    English

    Gammon

    English : variant of Game.English : from Anglo-Norman French gambon ‘ham’, a diminutive of gambe, Norman-Picard form of Old French jambe ‘leg’ (Late Latin gamba), hence probably a nickname for someone with some peculiarity of the legs or gait.

    Gammon

  • Fuller
  • Surname or Lastname

    English

    Fuller

    English : occupational name for a dresser of cloth, Old English fullere (from Latin fullo, with the addition of the English agent suffix). The Middle English successor of this word had also been reinforced by Old French fouleor, foleur, of similar origin. The work of the fuller was to scour and thicken the raw cloth by beating and trampling it in water. This surname is found mostly in southeast England and East Anglia. See also Tucker and Walker.In a few cases the name may be of German origin with the same form and meaning as 1 (from Latin fullare).Americanized version of French Fournier.Samuel Fuller (1589–1633), born in Redenhall, Norfolk, England, was among the Pilgrim Fathers who sailed on the Mayflower in 1620. He was a deacon of the church and until his death functioned as Plymouth Colony’s physician.

    Fuller

  • Gemma
  • Girl/Female

    French Latin Italian

    Gemma

    Jewel.

    Gemma

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Online names & meanings

  • Rotini
  • Girl/Female

    Indian, Telugu

    Rotini

    God

  • Muhsinah |
  • Girl/Female

    Muslim

    Muhsinah |

    Charitable and kind

  • Jitin | ஜீதீந 
  • Boy/Male

    Tamil

    Jitin | ஜீதீந 

    One who rules the body origen

  • Visakha
  • Boy/Male

    Indian, Sanskrit

    Visakha

    Branched

  • Agoti
  • Girl/Female

    Hungarian

    Agoti

    Kind. Good.

  • Krisla
  • Girl/Female

    Indian, Sanskrit

    Krisla

    Lord Krishna's Sister Subhadra

  • Zeena
  • Girl/Female

    Muslim/Islamic

    Zeena

    Ornament Something beautiful

  • Yasmena
  • Girl/Female

    Arabic

    Yasmena

    Jasmine Flower

  • Arleena
  • Girl/Female

    American, British, English

    Arleena

    Pledge; Variant of Carlene and Charlene

  • Baree |
  • Boy/Male

    Muslim

    Baree |

    One of the names of God, Evolver a name of Allah, Free from the hell

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Other words and meanings similar to

RECIPROCAL GAMMA-FUNCTION

AI search in online dictionary sources & meanings containing RECIPROCAL GAMMA-FUNCTION

RECIPROCAL GAMMA-FUNCTION

  • Gemmae
  • pl.

    of Gemma

  • Gamba
  • n.

    A viola da gamba.

  • Reciproque
  • a. & n.

    Reciprocal.

  • Reciprocal
  • a.

    Done by each to the other; interchanging or interchanged; given and received; due from each to each; mutual; as, reciprocal love; reciprocal duties.

  • Reciprocally
  • adv.

    In the manner of reciprocals.

  • Alternative
  • a.

    Alternate; reciprocal.

  • Reciprok
  • a.

    Reciprocal.

  • Transmutual
  • a.

    Reciprocal; commutual.

  • Reciprocate
  • v. t.

    To give and return mutually; to make return for; to give in return; to interchange; to alternate; as, to reciprocate favors.

  • Reciprocally
  • adv.

    In a reciprocal manner; so that each affects the other, and is equally affected by it; interchangeably; mutually.

  • Mam
  • n.

    Mamma.

  • Reflective
  • a.

    Reflexive; reciprocal.

  • Reciprocal
  • n.

    The quotient arising from dividing unity by any quantity; thus, / is the reciprocal of 4; 1/(a +b) is the reciprocal of a + b. The reciprocal of a fraction is the fraction inverted, or the denominator divided by the numerator.

  • Gummata
  • pl.

    of Gumma

  • Reciprocous
  • a.

    Reciprocal.

  • Reciprocal
  • a.

    Used to denote different kinds of mutual relation; often with reference to the substitution of reciprocals for given quantities. See the Phrases below.

  • Mammae
  • pl.

    of Mamma

  • Mama
  • n.

    See Mamma.

  • Reciprocal
  • n.

    That which is reciprocal to another thing.

  • Mutual
  • a.

    Reciprocally acting or related; reciprocally receiving and giving; reciprocally given and received; reciprocal; interchanged; as, a mutual love, advantage, assistance, aversion, etc.