hypergeometric function

hypergeometric function
a function that is a solution to a hypergeometric equation.

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  • Hypergeometric function — In mathematics, a hypergeometric function can be:* Hypergeometric series in the scalar (univariate) case and is the most common use for the term hypergeometric function* Hypergeometric function of a matrix argument in the multivariate case …   Wikipedia

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  • hypergeometric function — function that is a solution to a hypergeometric equation (Mathematics) …   English contemporary dictionary

  • 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

  • hypergeometric function — noun Any function that is a solution of the hypergeometric equation; usually an expansion of an hypergeometric series …   Wiktionary

  • hypergeometric function — Math. a function that is a solution to a hypergeometric equation …   Useful english dictionary

  • 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 — can refer to various related mathematical topics:*Hypergeometric series, p F q , a power series **Confluent hypergeometric function, 1 F 1, also known as the Kummer function **Euler hypergeometric integral, an integral representation of 2 F 1… …   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

  • Hypergeometric differential equation — In mathematics, the hypergeometric differential equation is a second order linear ordinary differential equation (ODE) whose solutions are given by the classical hypergeometric series. Every second order linear ODE with three regular singular… …   Wikipedia

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