English

Evaluations of some terminating hypergeometric ${}_2F_1(2)$ series

Complex Variables 2014-04-01 v1

Abstract

Explicit expressions for the hypergeometric series 2F1(n,a;2a±j;2){}_2F_1(-n, a; 2a\pm j;2) and 2F1(n,a;2n±j;2){}_2F_1(-n, a; -2n\pm j;2) for positive integer nn and arbitrary integer jj are obtained with the help of generalizations of Kummer's second and third summation theorems obtained earlier by Rakha and Rathie. Results for j5|j|\leq 5 derived previously using different methods are also obtained as special cases.

Keywords

Cite

@article{arxiv.1403.7759,
  title  = {Evaluations of some terminating hypergeometric ${}_2F_1(2)$ series},
  author = {Y S Kim and A K Rathie and R B Paris},
  journal= {arXiv preprint arXiv:1403.7759},
  year   = {2014}
}

Comments

7 pages, no figures

R2 v1 2026-06-22T03:38:22.454Z