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

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

Paperback

Series: Universitext

FictionGeneral Mathematics

ISBN10: 1447164636
ISBN13: 9781447164630
Publisher: Springer Nature
Published: Jun 25 2014
Pages: 279
Weight: 0.93
Height: 0.63 Width: 6.14 Depth: 9.21
Language: English
Introduction.- The Gamma Function.- Hypergeometric Identities.- Hypergeometric Database.- Holonomic Recurrence Equations.- Gosper's Algorithm.- The Wilf-Zeilberger Method.- Zeilberger's Algorithm.- Extensions of the Algorithms.- Petkovˇsek's and Van Hoeij's Algorithm.- Differential Equations for Sums.- Hyperexponential Antiderivatives.- Holonomic Equations for Integrals.- Rodrigues Formulas and Generating Functions.

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General Mathematics