Hypergeometric

Hypergeometric

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
**Lauricella hypergeometric series, hypergeometric series of three variables
**Horn function, 34 distinct convergent hypergeometric series of order two
*Basic hypergeometric series, a generalization of the ordinary hypergeometric series
*Hypergeometric function of a matrix argument, the multivariate generalization of the hypergeometric series
*Hypergeometric differential equation, a second-order linear ordinary differential equation
*Hypergeometric distribution, a discrete probability distribution


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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

  • 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

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