Hypergeometric Summation - An Algorithmic Approach to Summation and Special Function Identities

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.

Sommario

From the contents: The Gamma Function - Hypergeometric Identities - Hypergeometric Database - Holonomic Recurrence Equations - Gosper's Algorithm - The Wilf-Zeilberger Method - Zeilberger's Algorithm - Extensions of the Algorithms - Petkovsek's Algorithm - Differential Equations for Sums - Differential Antiderivatives -Hyperexponential Antiderivatives - Holonomic Equations for Integrals - Rodrigues Formulas and Generating Functions

Info autore

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

Dettagli sul prodotto

• Autori: Wolfram Koepf
• Editore: Vieweg+Teubner
• Lingue: Inglese
• Formato: Tascabile
• Pubblicazione: 01.01.1998
• EAN: 9783528069506
• ISBN: 978-3-528-06950-6
• Pagine: 230
• Peso: 384 g
• Illustrazioni: X, 230 p.
• Serie: Advanced Lectures in Mathematics; Advanced Lectures in Mathematics
• Categoria: Scienze naturali, medicina, informatica, tecnica > Matematica > Geometria