55 citations
- Christ UniversityIN15 papers
- Centro de Investigaciones Energéticas, Medioambientales y TecnológicasES8 papers
- Fermi National Accelerator LaboratoryUS8 papers
- Institució Catalana de Recerca i Estudis AvançatsES8 papers
- Instituto de Astrofísica de CanariasES8 papers
- Laboratório Interinstitucional de e-AstronomiaBR8 papers
- Mitchell InstituteUS8 papers
- National ObservatoryBR8 papers
- Oak Ridge National LaboratoryUS8 papers
- SLAC National Accelerator LaboratoryUS8 papers
- Stanford UniversityUS8 papers
- The University of QueenslandAU8 papers
6 papers · 1 filter
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 certain hypergeometric identities deducible by using beta integral method
Adel K. Ibrahim, Medhat A. Rakha, Arjun K. Rathie
The aim of this research paper is to demonstrate how one can obtain eleven new and interesting hypergeometric identities (in the form of a single result) from the old ones by mainl…
A note on a series containing the Laguerre polynomials
Y. S. Kim, A. K. Rathie, R. B. Paris
Expressions for the summation of a new series involving the Laguerre polynomials are obtained in terms of generalized hypergeometric functions. These results provide alternative, a…
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…
A study of I-functions of two variables
Shantha Kumari. K., Vasudevan Nambisan T. M., Arjun K. Rathie
In our present investigation we propose to study and develop the I-function of two variables analogous to the I-function of one variable introduced and studied by one of the author…