Combinatorial identities and hypergeometric functions, II
Copyright policy )Combinatorial identities and hypergeometric functions, II
Summary: 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 \textit{D. Lim} [Notes Number Theory Discrete Math. 29, No. 3, 421--425 (2023; \url{doi:10.7546/nntdm.2023.29.3.421-425})] is offered. For Part I see [\textit{H. Alzer} and \textit{K. C. Richards}, Rocky Mt. J. Math. 52, No. 6, 1921--1928 (2022; Zbl 1506.05026)].
combinatorial identity, Classical hypergeometric functions, \({}_2F_1\), QA1-939, hypergeometric function, knuth’s old sums, Knuth's old sums, Mathematics, Combinatorial identities, bijective combinatorics
combinatorial identity, Classical hypergeometric functions, \({}_2F_1\), QA1-939, hypergeometric function, knuth’s old sums, Knuth's old sums, Mathematics, Combinatorial identities, bijective combinatorics
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