We propose a method to solve a class of terminating hypergeometric series by using generating functions and Lagrange inversion formula. Although the approach is not so 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.

Proving a class of hypergeometric identities by means of generating functions / S. Brogelli; D. Merlini; R. Sprugnoli. - STAMPA. - (2000), pp. 645-666. (Intervento presentato al convegno International Conference on Formal Power Series and Algebraic Combinatorics, FPSAC'2000 tenutosi a Moscow, Russia nel June 26-30, 2000).

Proving a class of hypergeometric identities by means of generating functions

D. Merlini;R. Sprugnoli
2000

Abstract

We propose a method to solve a class of terminating hypergeometric series by using generating functions and Lagrange inversion formula. Although the approach is not so 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.
2000
Proceedings of the 12-th International Conference on Formal Power Series and Algebraic Combinatorics
International Conference on Formal Power Series and Algebraic Combinatorics, FPSAC'2000
Moscow, Russia
June 26-30, 2000
S. Brogelli; D. Merlini; R. Sprugnoli
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Utilizza questo identificatore per citare o creare un link a questa risorsa: https://hdl.handle.net/2158/647387
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