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. ( International Conference on Formal Power Series and Algebraic Combinatorics, FPSAC'2000 Moscow, Russia 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.
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