Year: 2019
Type: preprint
Abstract: 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 are established with the help of the identities in Liu and Wang \cite{Li-Wa} and generalizations of Kummer's summation theorem, Gauss' second summation theorem and Bailey's summation theorem obtained earlier by Rakha and Rathie \cite{Ra-Ra}. Some special cases and relevant connections of the results presented here with those involving certain known identities are also indicated.
Source: arXiv (Cornell University)
Authors: Choi, Junesang, Rathie, Arjun K.
Language: English
Subfield: Applied Mathematics
Field: Mathematics
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W2995823345