Proving a Class of Hypergeometric Identities by means of Generating Functions

Susanna Brogelli (), Donatella Merlini () and Renzo Sprugnoli ()
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Susanna Brogelli: Dipartimento di Sistemi e Informatica
Donatella Merlini: Dipartimento di Sistemi e Informatica
Renzo Sprugnoli: Dipartimento di Sistemi e Informatica

A chapter in Formal Power Series and Algebraic Combinatorics, 2000, pp 645-654 from Springer

Abstract: Abstract We propose a method to solve a class of terminating hypergeometric series 2 F 1 by using generating functions and the Lagrange inversion formula. Altough the approach is not as general as the WZ-method, nonetheless it is rather effective and succeeds in solving sums that cannot be treated by similar methods, as the ones proposed for the solutions of Gosper’s strange identities.

Keywords: Formal Power Series; Hypergeometric Series; Elimination Theory; Hypergeometric Solution; Lagrange Theorem (search for similar items in EconPapers)
Date: 2000
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-3-662-04166-6_63

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DOI: 10.1007/978-3-662-04166-6_63

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