Special Values of the Hypergeometric Series

Special Values of the Hypergeometric Series
Author :
Publisher : American Mathematical Soc.
Total Pages : 108
Release :
ISBN-10 : 9781470425333
ISBN-13 : 1470425335
Rating : 4/5 (335 Downloads)

Book Synopsis Special Values of the Hypergeometric Series by : Akihito Ebisu

Download or read book Special Values of the Hypergeometric Series written by Akihito Ebisu and published by American Mathematical Soc.. This book was released on 2017-07-13 with total page 108 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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 and shows that values of at some points can be expressed in terms of gamma functions, together with certain elementary functions. The author tabulates the values of that can be obtained with this method and finds that this set includes almost all previously known values and many previously unknown values.


Special Values of the Hypergeometric Series Related Books

Special Values of the Hypergeometric Series
Language: en
Pages: 108
Authors: Akihito Ebisu
Categories: Mathematics
Type: BOOK - Published: 2017-07-13 - Publisher: American Mathematical Soc.

DOWNLOAD EBOOK

In this paper, the author presents a new method for finding identities for hypergeoemtric series, such as the (Gauss) hypergeometric series, the generalized hyp
Special Values of the Hypergeometric Series
Language: en
Pages: 108
Authors: Akihito Ebisu
Categories: Cohen-Macaulay modules
Type: BOOK - Published: 2017 - Publisher:

DOWNLOAD EBOOK

In this paper, the author presents a new method for finding identities for hypergeoemtric series, such as the (Gauss) hypergeometric series, the generalized hyp
The Confluent Hypergeometric Function
Language: en
Pages: 255
Authors: Herbert Buchholz
Categories: Science
Type: BOOK - Published: 2013-11-22 - Publisher: Springer Science & Business Media

DOWNLOAD EBOOK

The subject of this book is the higher transcendental function known as the confluent hypergeometric function. In the last two decades this function has taken o
Hypergeometric Summation
Language: en
Pages: 290
Authors: Wolfram Koepf
Categories: Computers
Type: BOOK - Published: 2014-06-10 - Publisher: Springer

DOWNLOAD EBOOK

Modern algorithmic techniques for summation, most of which were introduced in the 1990s, are developed here and carefully implemented in the computer algebra sy
Generalized Hypergeometric Functions
Language: en
Pages: 0
Authors: K. Srinivasa Rao
Categories: Hypergeometric functions
Type: BOOK - Published: 2018 - Publisher:

DOWNLOAD EBOOK

"In 1813, Gauss first outlined his studies of the hypergeometric series which has been of great significance in the mathematical modelling of physical phenomena