gamma function

gamma function

English-Finnish mathematical dictionary. 2011.

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  • Gamma function — For the gamma function of ordinals, see Veblen function. The gamma function along part of the real axis In mathematics, the gamma function (represented by the capital Greek letter Γ) is an extension of the factorial function, with its… …   Wikipedia

  • gamma function — ▪ mathematics       generalization of the factorial function to nonintegral values, introduced by the Swiss mathematician Leonhard Euler (Euler, Leonhard) in the 18th century.       For a positive whole number n, the factorial (written as n!) is… …   Universalium

  • gamma function — gama funkcija statusas T sritis fizika atitikmenys: angl. gamma function vok. Gamma Funktion, f rus. гамма функция, f pranc. fonction gamma, f …   Fizikos terminų žodynas

  • gamma function — noun Etymology: gamma (I) : a function of a variable γ defined by the definite integral Γ(γ) = ∫xγ 1e xdx …   Useful english dictionary

  • gamma function — noun A mathematical function which generalizes the notion of a factorial, taking any real value as input …   Wiktionary

  • Incomplete gamma function — In mathematics, the gamma function is defined by a definite integral. The incomplete gamma function is defined as an integral function of the same integrand. There are two varieties of the incomplete gamma function: the upper incomplete gamma… …   Wikipedia

  • Particular values of the Gamma function — The Gamma function is an important special function in mathematics. Its particular values can be expressed in closed form for integer and half integer arguments, but no simple expressions are known for the values at rational points in… …   Wikipedia

  • Reciprocal Gamma function — In mathematics, the reciprocal Gamma function is the function:f(z) = frac{1}{Gamma(z)},where Gamma(z) denotes the Gamma function. Since the Gamma function is meromorphic and nonzero everywhere in the complex plane, its reciprocal is an entire… …   Wikipedia

  • Multiple gamma function — For derivatives of the log of the gamma function, see polygamma function. In mathematics, the multiple gamma function ΓN is a generalization of the Euler Gamma function and the Barnes G function. The double gamma function was studied Barnes… …   Wikipedia

  • Multivariate gamma function — In mathematics, the multivariate Gamma function, Γp(·), is a generalization of the Gamma function. It is useful in multivariate statistics, appearing in the probability density function of the Wishart and Inverse Wishart distributions. It has two …   Wikipedia

  • Elliptic gamma function — In mathematics, the elliptic gamma function is a generalization of the q Gamma function, which is itself the q analog of the ordinary Gamma function. It is given by:Gamma (z;p,q) = prod {m=0}^infty prod {n=0}^inftyfrac{1 p^{m+1}q^{n+1}/z}{1 p^m… …   Wikipedia

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