generalized hypergeometric function

generalized hypergeometric function
обобщённая гипергеометрическая функция

English-russian dictionary of physics. 2013.

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  • Hypergeometric function of a matrix argument — In mathematics, the hypergeometric function of a matrix argument is a generalization of the classical hypergeometric series. It is the closed form expression of certain multivariate integrals, especially ones appearing in random matrix theory.… …   Wikipedia

  • Confluent hypergeometric function — In mathematics, a confluent hypergeometric function is a solution of a confluent hypergeometric equation, which is a degenerate form of a hypergeometric differential equation where two of the three regular singularities merge into an irregular… …   Wikipedia

  • Hypergeometric series — In mathematics, a hypergeometric series is a power series in which the ratios of successive coefficients k is a rational function of k . The series, if convergent, will define a hypergeometric function which may then be defined over a wider… …   Wikipedia

  • Generalized continued fraction — In analysis, a generalized continued fraction is a generalization of regular continued fractions in canonical form in which the partial numerators and the partial denominators can assume arbitrary real or complex values.A generalized continued… …   Wikipedia

  • Meijer G-function — In mathematics, the G function was introduced by Cornelis Simon Meijer (1936) as a very general function intended to include most of the known special functions as particular cases. This was not the only attempt of its kind: the generalized… …   Wikipedia

  • Hypergeometric distribution — Hypergeometric parameters: support: pmf …   Wikipedia

  • Meijer G-Function — The G function was defined for the first time by the Dutch mathematician Cornelis Simon Meijer (1904 1974) in 1936 as an attempt to introduce a very general function that includes most of the known special functions as particular cases. This was… …   Wikipedia

  • Struve function — In mathematics, Struve functions , are solutions y(x) of the non homogenous Bessel s differential equation: introduced by Hermann Struve (1882). The complex number α is the order of the Struve function, and is often an integer. The modified… …   Wikipedia

  • Bessel function — In mathematics, Bessel functions, first defined by the mathematician Daniel Bernoulli and generalized by Friedrich Bessel, are canonical solutions y(x) of Bessel s differential equation: for an arbitrary real or complex number α (the order of the …   Wikipedia

  • Bilateral hypergeometric series — In mathematics, a bilateral hypergeometric series is a series Σan summed over all integers n, and such that the ratio an/an+1 of two terms is a rational function of n. The definition of the generalized hypergeometric series is similar, except… …   Wikipedia

  • Elliptic hypergeometric series — In mathematics, an elliptic hypergeometric series is a series Σcn such that the ratio cn/cn−1 is an elliptic function of n, analogous to generalized hypergeometric series where the ratio is a rational function of n, and basic hypergeometric… …   Wikipedia


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