8 citations · 9 across the 5 of their papers we have counts for
5 papers
On generalization of Bailey's identity involving product of generalized hypergeometric series
Y. S. Kim, A. K. Rathie
The aim of this research paper is to obtain explicit expressions of (i) $ {}_1F_1 \left[\begin{array}{c} α\\ 2α+ i \end{array} ; x \right]. {}_1F_1\left[ \begin{array}{c} β\\ 2β+ j…
On extensions of two results due to Ramanujan
Y. S. Kim, A. K. Rathie, R. B. Paris
The aim in this note is to provide a generalization of an interesting entry in Ramanujan's Notebooks that relate sums involving the derivatives of a function Phi(t) evaluated at 0…
An alternative proof of the extended Saalschutz summation theorem for the r+3Fr+2(1) series with applications
Y. S. Kim, Arjun K. Rathie, R. B. Paris
A simple proof of a new summation formula for a terminating r+3Fr+2(1) hypergeometric series, representing an extension of Saalschutz's formula for a 3F2(1) series, is given for t…
On two Thomae-type transformations for hypergeometric series with integral parameter differences
Y. S. Kim, Arjun. K. Rathie, R. B. Paris
We obtain two new Thomae-type transformations for hypergeometric series with r pairs of numeratorial and denominatorial parameters differing by positive integers. This is achieved…
πand other formulae implied by hypergeometric summation theorems
Yong Sup Kim, Xiaoxia Wang, Arjun K. Rathie
By employing certain extended classical summation theorems, several surprising πand other formulae are displayed.