English

Ramanujan's cubic transformation inequalities for zero-balanced hypergeometric functions

Classical Analysis and ODEs 2012-11-03 v1

Abstract

In this paper, a generalization of Ramanujan's cubic transformation, in the form of an inequality, is proved for zero-balanced Gaussian hypergeometric function F(a,b;a+b;x)F(a,b;a+b;x), a,b>0a,b>0.

Keywords

Cite

@article{arxiv.1210.6126,
  title  = {Ramanujan's cubic transformation inequalities for zero-balanced hypergeometric functions},
  author = {Miao-Kun Wang and Yu-Ming Chu and Ye-Ping Jiang},
  journal= {arXiv preprint arXiv:1210.6126},
  year   = {2012}
}

Comments

9 pages

R2 v1 2026-06-21T22:26:14.934Z