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Special Values of the Hypergeometric Series (Memoirs of the American Mathematical Society)

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Description

About the Author Akihito Ebisu, Hokkaido University, Sapporo, Japan. Product Description In this paper, the author presents a new method for finding identities for hypergeoemtric series, such as the (Gauss) hypergeometric series, the generalized hypergeometric series and the Appell-Lauricella hypergeometric series. Furthermore, using this method, the author gets identities for the hypergeometric series $F(a,b;c;x)$ and shows that values of $F(a,b;c;x)$ at some points $x$ can be expressed in terms of gamma functions, together with certain elementary functions. The author tabulates the values of $F(a,b;c;x)$ that can be obtained with this method and finds that this set includes almost all previously known values and many previously unknown values.

Product Specifications

Format
paperback
Domain
Amazon UK
Release Date
30 June 2017
Listed Since
21 April 2017

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