English

Further summation formulas for the Kamp\'e de F\'eriet function

Complex Variables 2019-12-24 v1 Classical Analysis and ODEs

Abstract

The aim of this research is to provide thirty-two interesting summation formulas for the Kamp\'e de F\'eriet 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.

Keywords

Cite

@article{arxiv.1912.10441,
  title  = {Further summation formulas for the Kamp\'e de F\'eriet function},
  author = {Junesang Choi and Arjun K. Rathie},
  journal= {arXiv preprint arXiv:1912.10441},
  year   = {2019}
}

Comments

18 pages; submitted for publication

R2 v1 2026-06-23T12:53:46.167Z