40 citations · 60 across the 31 of their papers we have counts for
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A derivation of two quadratic transformations contiguous to that of Gauss via a differential equation approach
M Swathi, A K Rathie, R B Paris
The purpose of this note is to provide an alternative proof of two quadratic transformation formulas contiguous to that of Gauss using a differential equation approach.
An extension of a series containing Laguerre polynomials
A K Rathie, R B Paris
Expressions for the summation of the series involving the Laguerre polynomials \[S_m(\pmν, \pm p)\equiv e^{-x}\sum_{n=0}^\infty \frac{x^n\,L_n^{(ν)}(x)}{(1\pm ν\pm p)_n}\frac{(f+m)…
A note on a hypergeometric transformation formula due to Slater with an application
Y. S. Kim, A. K. Rathie, R. B. Paris
In this note we state (with minor corrections) and give an alternative proof of a very general hypergeometric transformation formula due to Slater. As an application, we obtain a n…
Generalization of a quadratic transformation due to Exton
Y S Kim, A K Rathie, R B Paris
Exton [Ganita 54(2003)13-15] obtained numerous new quadratic transformations involving hypergeometric functions of order two and of higher order by applying various known classical…
Evaluations of some terminating hypergeometric series
Y S Kim, A K Rathie, R B Paris
Explicit expressions for the hypergeometric series and for positive integer and arbitrary integer are obtained with…