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E-book
Author Ebisu, Akihito, 1985- author.

Title Special values of the hypergeometric series / Akihito Ebisu
Published Providence, Rhode Island : American Mathematical Society, 2017
©2017

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Description 1 online resource (v, 96 pages)
Series Memoirs of the American Mathematical Society, 0065-9266 ; volume 248, number 1177
Memoirs of the American Mathematical Society ; no. 1177.
Contents Cover; Title page; Chapter 1. Introduction; Chapter 2. Preliminaries; 2.1. Contiguity operators; 2.2. Degenerate relations; 2.3. A complete system of representatives of \\Z³; Chapter 3. Derivation of special values; 3.1. Example 1: (,)=(0,1,1); 3.2. Example 2: (,)=(1,2,2); 3.3. Example 3: (,)=(1,2,3); Chapter 4. Tables of special values; 4.1. =1; 4.2. =2; 4.3. =3; 4.4. =4; 4.5. =5; 4.6. =6; Appendix A. Some hypergeometric identities for generalized hypergeometric series and Appell-Lauricella hypergeometric series
A.1. Some examples for generalized hypergeometric seriesA. 2. Some examples for Appell-Lauricella hypereometric series; Acknowledgments; Bibliography; Back Cover
Summary 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 p
Notes "Volume 248, number 1177 (third of 5 numbers), July 2017."
Bibliography Includes bibliographical references (pages 95-96)
Notes Print version record
Subject Hypergeometric series.
Cohen-Macaulay modules.
Modules (Algebra)
Singularities (Mathematics)
Cohen-Macaulay modules
Hypergeometric series
Modules (Algebra)
Singularities (Mathematics)
Form Electronic book
Author American Mathematical Society, publisher
ISBN 9781470440565
1470440563