An affirmative answer to an open problem on Ramanujan's asymptotic formula of zero-balanced hypergeometric function
Classical Analysis and ODEs
2025-04-08 v1
Abstract
In this paper, by using recurrence method and new properties of beta function and Ramanujan -function, we prove the absolute monotonicity result for a function related to Ramanujan asymptotic formula of zero-balanced hypergeometric function, which gives an affirmative answer to an open problem proposed by Anderson Vamanamurthy and Vuorinen \cite{Anderson-CIIQM-JW-1997} in 1997.
Cite
@article{arxiv.2504.04521,
title = {An affirmative answer to an open problem on Ramanujan's asymptotic formula of zero-balanced hypergeometric function},
author = {Miao-kun Wang and Zhen-hang Yang and Tie-hong Zhao},
journal= {arXiv preprint arXiv:2504.04521},
year = {2025}
}
Comments
19 pages