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The Confluent Hypergeometric Function
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Authors: Herbert Buchholz
Categories: Science
Type: BOOK - Published: 2013-11-22 - Publisher: Springer Science & Business Media

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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
Special Values of the Hypergeometric Series
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Authors: Akihito Ebisu
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Type: BOOK - Published: 2017-07-13 - Publisher: American Mathematical Soc.

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

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This book comprehensively covers several hundred functions or function families. In chapters that progress by degree of complexity, it starts with simple, integ
Hypergeometric Summation
Language: en
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Authors: Wolfram Koepf
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Modern algorithmic techniques for summation, most of which were introduced in the 1990s, are developed here and carefully implemented in the computer algebra sy
An Introduction to Special Functions
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Pages: 172
Authors: Carlo Viola
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The subjects treated in this book have been especially chosen to represent a bridge connecting the content of a first course on the elementary theory of analyti