# hypergeometric

hypergeometric
Pertaining to mathematical entities of different kinds (series, functions, equations, ...) but strictly related to hypergeometric series
2. noun
Such a function, series etc.

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• 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 distribution — Hypergeometric parameters: support: pmf …   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

• Hypergeometric identities — In mathematics, hypergeometric identities are equalities involving sums over hypergeometric terms, i.e. the coefficients occurring in hypergeometric series. These identities occur frequently in solutions to combinatorial problems, and also in the …   Wikipedia

• 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 — 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

• hypergeometric series — noun Any power series such that the ratio of the (k+1) th and the k th terms is a rational function of the natural integer k. See Also: hypergeometric function, hypergeometric equation, confluent hypergeometric series, basic hypergeometric series …   Wiktionary

• 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. * * * …   Universalium