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

Y S Kim; A K Rathie; R B Paris

paper

Evaluations of some terminating hypergeometric $_{2} F_{1} (2)$ series

arXiv:1403.7759

Abstract

Explicit expressions for the hypergeometric series $_{2} F_{1} (- n, a; 2 a \pm j; 2)$ and $_{2} F_{1} (- n, a; - 2 n \pm j; 2)$ for positive integer $n$ and arbitrary integer $j$ are obtained with the help of generalizations of Kummer's second and third summation theorems obtained earlier by Rakha and Rathie. Results for $∣ j ∣ \leq 5$ derived previously using different methods are also obtained as special cases.

7 pages, no figures

Evaluations of some terminating hypergeometric 2​F1​(2) series

Abstract

Evaluations of some terminating hypergeometric $_{2} F_{1} (2)$ series