40 citations · 60 across the 31 of their papers we have counts for
31 papers
Two closed-form evaluations for the generalized hypergeometric function
Arjun K. Rathie, Mykola A. Shpot
The objective of this short note is to provide two closed-form evaluations for the generalized hypergeometric function of the argument . This is achieved by mea…
Generalizations and variants of Knuth's old sum
Arjun K. Rathie, John M. Campbell
We extend the Reed Dawson identity for Knuth's old sum with a complex parameter, and we offer two separate hypergeometric series-based proofs of this generalization, and we apply t…
On a new class of series identities
Arjun K. Rathie
The aim of this paper is to provide a new class of series identities in the form of four general results. The results are established with the help of generalizatons of the classic…
A note on an extension of Gelfond's constant
A. K. Rathie, R. B. Paris
The aim of this note is to provide a natural extension of Gelfond's constant using a hypergeometric function approach. An extension is also found for the square root of this…
A note on a generalization of two well-known Cominatorial identities via a Hypergeometric series approach
Arjun K. Rathie, Insuk Kim, Richard B. Paris
In this note, we aim to provide generalizations of (i) Knuth's old sum (or Reed Dawson identity) and (ii) Riordan's identity using a hypergeometric series approach.
On a new result for the hypergeometric function
A. K. Rathie, R. B. Paris
The aim of this note is to provide a new identity connected with the Gauss hypergeometric function. This is achieved using results of certain combinatorial identities and a hyperge…