Hypergeometric Summation (Advanced Lectures in Mathematics): An Algorithmic Approach to Summation and Special Function Identities - Softcover

Buch 167 von 261: Universitext

Koepf, Wolfram

 
9783528069506: Hypergeometric Summation (Advanced Lectures in Mathematics): An Algorithmic Approach to Summation and Special Function Identities

Inhaltsangabe

Modern Algorithmic Techniques

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Über die Autorin bzw. den Autor

Dr. Wolfram Koepf ist im Fachbereich Informatik/Mathematik/Naturwissenschaften der Hochschule für Technik, Wirtschaft und Kultur in Leipzig tätig.

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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.

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Weitere beliebte Ausgaben desselben Titels

9781447164630: Hypergeometric Summation: An Algorithmic Approach to Summation and Special Function Identities (Universitext)

Vorgestellte Ausgabe

ISBN 10:  1447164636 ISBN 13:  9781447164630
Verlag: Springer, 2014
Softcover