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digamma function

См. также в других словарях:

  • Digamma function — For Barnes s gamma function of 2 variables, see double gamma function. Digamma function ψ(s) in the complex plane. The color of a point s encodes the value of ψ(s). Strong colors denote values close to zero and hue encodes the value s argument …   Wikipedia

  • Digamma — This article is about the Greek letter. For the mathematical function, see digamma function. Greek alphabet …   Wikipedia

  • Digamma-Funktion — Die Digamma Funktion ψ(x) in der komplexen Zahlenebene. Die Digamma Funktion oder Psi Funktion ist in der Mathematik eine Funktion, die definiert wird als …   Deutsch Wikipedia

  • Polygamma function — In mathematics, the polygamma function of order m is defined as the ( m + 1)th derivative of the logarithm of the gamma function::psi^{(m)}(z) = left(frac{d}{dz} ight)^m psi(z) = left(frac{d}{dz} ight)^{m+1} lnGamma(z).Here :psi(z) =psi^{(0)}(z) …   Wikipedia

  • Función digamma — Ψ(s) en el plano complejo. El color de un punto s codifica el valor de Ψ(s).Colores fuertes denotan valores cercanos a cero y el tono codifica el valor del argumento. En matemáticas, la función digamma se define como la …   Wikipedia Español

  • 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

  • Trigamma function — In mathematics, the trigamma function, denoted psi;1(z), is the second of the polygamma functions, and is defined by: psi 1(z) = frac{d^2}{dz^2} lnGamma(z).It follows from this definition that: psi 1(z) = frac{d}{dz} psi(z)where psi;(z) is the… …   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

  • Beta function — This article is about Euler beta function. For other uses, see Beta function (disambiguation). In mathematics, the beta function, also called the Euler integral of the first kind, is a special function defined by for The beta function was studied …   Wikipedia

  • Hurwitz zeta function — In mathematics, the Hurwitz zeta function, named after Adolf Hurwitz, is one of the many zeta functions. It is formally defined for complex arguments s with Re( s )>1 and q with Re( q )>0 by:zeta(s,q) = sum {n=0}^infty frac{1}{(q+n)^{sThis series …   Wikipedia

  • psi function — noun a) A function of a complex variable obtained by differentiating the logarithm of a gamma function; the digamma function b) The Schrödinger wave function …   Wiktionary

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