Special Values of the Hypergeometric Series - Memoirs of the American Mathematical Society (Paperback)Akihito Ebisu (author)
Paperback 96 Pages / Published: 30/06/2017
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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.
Publisher: American Mathematical Society
Number of pages: 96
Dimensions: 254 x 178 mm
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