3 citations · 3 across the 4 of their papers we have counts for
4 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…
Infinite and finite series involving central binomial coefficients and closed forms of generalized hypergeometric functions
Ganesh Bahadur Basnet, Narayan Prasad Pahari, Feng Qi +1
Let . In 2023, Qi and Lim gave two claims for summing the infinite series $$ \sum_{k=1}^{\infty} \binom{2k}{k} \frac{1}{α+k} \biggl(\frac{\p…
Combinatorial identities derived from explicit formulas of Gauss hypergeometric functions
Feng Qi
In present paper, with the help of the Faà di Bruno formula and identities of partial Bell polynomials, the author establishes explicit formulas of the Gauss hypergeometric functio…
Decreasing and complete monotonicity of two functions defined by three derivatives of a completely monotonic function involving the trigamma function
Hong-Ping Yin, Ling-Xiong Han, Feng Qi
In the paper, by convolution theorem of the Laplace transforms, a monotonicity rule for the ratio of two Laplace transforms, Bernstein's theorem for completely monotonic functions,…