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H. van Haeringen - REPORT 95-140 Some generalizations of the Karlsson-Minton formulas for generalized hypergeometric series k+1 F k(...;1) with integral differences

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Afbeelding: H. van Haeringen - REPORT 95-140 Some generalizations of the Karlsson-Minton formulas for generalized hypergeometric series k+1 F k(...;1) with integral differences
Schrijver: H. van Haeringen
Titel: REPORT 95-140 Some generalizations of the Karlsson-Minton formulas for generalized hypergeometric series k+1 F k(...;1) with integral differences
ISBN:
Uitgever: TU Delft Faculteit der Technische Wiskunde en Informatica 1995 ISSN 0922-5641 REPORT 95-140
Bijzonderheid: paperback geniet 7pp. a4 formaat
Prijs: € 10,80
€ 4,00
Meer info From Wikipedia, the free encyclopedia
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The term "hypergeometric function" sometimes refers to the generalized hypergeometric function. For other hypergeometric functions see See also.
In mathematics, the Gaussian or ordinary hypergeometric function 2F1(a,b;c;z) is a special function represented by the hypergeometric series, that includes many other special functions as specific or limiting cases. It is a solution of a second-order linear ordinary differential equation (ODE). Every second-order linear ODE with three regular singular points can be transformed into this equation.

For systematic lists of some of the many thousands of published identities involving the hypergeometric function, see the reference works by Erdélyi et al. (1953) and Olde Daalhuis (2010) . There is no known system for organizing all of the identities; indeed, there is no known algorithm that can generate all identities; a number of different algorithms are known that generate different series of identities. The theory of the algorithmic discovery of identities remains an active research topic.
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