Asymptotic expansions and inequalities for hypergeometric functions

: Ponnusamy S., Vuorinen M.

: 1997

: Mathematika

: 44

: 2

: 278

: 301

: 24

: 0025-5793

: http://api.elsevier.com/content/abstract/scopus_id:0039039092

Ramanujan's work on the asymptotic behaviour of the hypergeometric function has been recently refined to the zero-balanced Gaussian hypergeometric function F(a, b; a + b; x) as x→1. We extend these results for F(a, b; c; x) when a, b, c > 0 and c < a + b.