Combinatorial identities and hypergeometric functions, II

Horst Alzer

doi:10.47443/dml.2023.211

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Combinatorial identities and hypergeometric functions, II

Author(s)

Horst Alzer Morsbacher Straße 10,51545 Waldbro ̈l,Germany

Abstract

Properties of the classical Gaussian hypergeometric function are applied to prove some combinatorial identities. Among others, a corrected and simplified version of a formula of D. Lim [Notes Number Theory Discrete Math. 29 (2023) 421-425] is offered.

Publication Details

Page(s) 1-5

DOI 10.47443/dml.2023.211

Published Journal: Discrete Mathematics Letters, Volume: 13, Issue: 0, Year: 2024

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Keywords

combinatorial identity, Knuth's old sums, hypergeometric function

References

Alzer H.,Richards K. C.,Bailey W. N. .1935 .Combinatorial identities and hypergeometric functions. Rocky Mountain J. Math. 52, : 1921-1928.

Chu W.,Kim Y.,Rathie A. K.,Lim D.,Prudnikov A. P.,Brychkov Y. A.,O. I. Marichev Y. A.,Rathie A. K.,I. Kim A. K.,Rathie A. K.,Lim D.,Riordan J. .1979 .A note on generalization of combinatorial identities due to Gould and Touchard. Axioms, 12 : 268-425.