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 (33 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
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
An Atlas of Functions
Language: en
Pages: 737
Authors: Keith B. Oldham
Categories: Mathematics
Type: BOOK - Published: 2010-07-15 - Publisher: Springer Science & Business Media

DOWNLOAD EBOOK

This book comprehensively covers several hundred functions or function families. In chapters that progress by degree of complexity, it starts with simple, integ
Handbook of Mathematical Functions
Language: en
Pages: 1068
Authors: Milton Abramowitz
Categories: Mathematics
Type: BOOK - Published: 1965-01-01 - Publisher: Courier Corporation

DOWNLOAD EBOOK

An extensive summary of mathematical functions that occur in physical and engineering problems
Special Functions
Language: en
Pages: 684
Authors: George E. Andrews
Categories: Mathematics
Type: BOOK - Published: 1999 - Publisher: Cambridge University Press

DOWNLOAD EBOOK

An overview of special functions, focusing on the hypergeometric functions and the associated hypergeometric series.