24 citations · 43 across the 6 of their papers we have counts for
6 papers
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…
Closed-form formulas, determinantal expressions, recursive relations, power series, and special values of several functions used in Clark--Ismail's two conjectures
Yan-Fang Li, Dongkyu Lim, Feng Qi
In the paper, by virtue of the famous formula of Faà di Bruno, with the aid of several identities of partial Bell polynomials, by means of a formula for derivatives of the ratio of…
Hodge-Newton indecomposability and a combinatorial identity
Dong Gyu Lim
We present a simple alternative viewpoint on Hodge-Newton indecomposability, illustrating its explanatory value through a uniform proof of a combinatorial identity arising from aff…
Radon-Nikodym theorem with respect to -measure on
Dongkyu Lim
Araci et al. introduced a -adic -analogue of the Haar distribution. By means of the distribution, they constructed the -adic -Volkenborn integral. In this paper…
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…
Maclaurin's series expansions for positive integer powers of inverse (hyperbolic) sine and related functions, specific values of partial Bell polynomials, and two applications
Bai-Ni Guo, Dongkyu Lim, Feng Qi
In the paper, the authors establish Maclaurin's series expansions and series identities for positive integer powers of the inverse sine function, for positive integer powers of the…