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math.GM2026
Extensions of several famous combinatorial identities via hypergeometric functions
Arjun Kumar Rathie, Feng Qi, Dongkyu Lim
The objective of this paper is to develop an extension of Kummer's second theorem and to establish generalized forms of four classical combinatorial identities---Knuth's old sum (a…
math.GM2021★ 17 cited
Several combinatorial identities derived from series expansions of powers of arcsine
Feng Qi, Chao-Ping Chen, Dongkyu Lim
In the paper, with the aid of the series expansions of the square or cubic of the arcsine function, the authors establish several possibly new combinatorial identities containing t…