English

Asymptotics of Saran's hypergeometric function $F_K$

Classical Analysis and ODEs 2024-05-02 v1

Abstract

In this paper, we first establish asymptotic expansions of the Humbert function Ψ1\Psi_1 for one large variable. The resulting expansions are then used to derive an asymptotic expansion of Saran's hypergeometric function FKF_K when two of its variables become simultaneously large.

Keywords

Cite

@article{arxiv.2405.00325,
  title  = {Asymptotics of Saran's hypergeometric function $F_K$},
  author = {Peng-Cheng Hang and Min-Jie Luo},
  journal= {arXiv preprint arXiv:2405.00325},
  year   = {2024}
}

Comments

18 pages

R2 v1 2026-06-28T16:12:28.359Z