Hypergeometric Summation (Advanced Lectures in Mathematics) (Viewed Advanced Lectures in Mathematics Series) - Softcover
Book 167 of 261: Universitext
Synopsis
In this book modern algorithmic techniques for summation, most of which have been introduced within the last decade, are developed and carefully implemented in the computer algebra system Maple.
The algorithms of Gosper, Zeilberger and Petkovsek on hypergeometric summation and recurrence equations and their q-analogues are covered, and similar algorithms on differential equations are considered. An equivalent theory of hyperexponential integration due to Almkvist and Zeilberger completes the book.
The combination of all results considered gives work with orthogonal polynomials and (hypergeometric type) special functions a solid algorithmic foundation. Hence, many examples from this very active field are given.
The present book is designed for use in the framework of a seminar but is also suitable for an advanced lecture course in this area.
"synopsis" may belong to another edition of this title.
About the Author
Dr. Wolfram Koepf ist im Fachbereich Informatik/Mathematik/Naturwissenschaften der Hochschule für Technik, Wirtschaft und Kultur in Leipzig tätig.
From the Back Cover
In this book modern algorithmic techniques for summation, most of which have been introduced within the last decade, are developed and carefully implemented in the computer algebra system Maple.
The algorithms of Gosper, Zeilberger and Petkovsek on hypergeometric summation and recurrence equations and their q-analogues are covered, and similar algorithms on differential equations are considered. An equivalent theory of hyperexponential integration due to Almkvist and Zeilberger completes the book.
The combination of all results considered gives work with orthogonal polynomials and (hypergeometric type) special functions a solid algorithmic foundation. Hence, many examples from this very active field are given.
The book is designed for use in the framework of a seminar and it is also suitable for an advanced lecture course in this area.
"About this title" may belong to another edition of this title.
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Hypergeometric Summation : An Algorithmic Approach to Summation and Special Function Identities
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