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Further summation formulas for the Kampé de Fériet function
Junesang Choi, Arjun K. Rathie
The aim of this research is to provide thirty-two interesting summation formulas for the Kampé de Fériet function in general forms, which are given in sixteen theorems. The results…
Another Method for Proving a Hypergeometric Generating relation contiguous to that of Exton
Shantha Kumari, J. Prathima, Arjun K. Rathie
The aim of this note is to establish an interesting hypergeometric generating relation contiguous to that of Exton by a short method.
On a representation of Humbert's double hypergeometric series in a series of Gauss's function
Arjun K. Rathie, Victor V. Manako, Harsh Vardhan Harsh
Very recently a new series representation of Humbert's double hypergeometric series in series of Gauss's function was given by one of us. The aim of this short resear…
Remark On Two Results due to Ramanujan on Hypergeometric Series
Medhat A. Rakha, Adel K. Ibrahim, Arjun K. Rathie
During the course of verifying the results of Ramanujan on hypergeometric series, Berndt in his notebooks, Part II mentioned corrected forms of two of the Ramanujan's results. The…
On the Distribution of the Product and the Sum of Generalized Shifted Gamma Random Variables
Pushpa N. rathie, Arjun K. Rathie, Luan C. de S. M. Ozelim
In general, while obtaining the probability density function of sums and products of shifted random variables, ordinary analytical methods such as Fourier and Mellin transforms ten…
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…