Asymptotics of Saran's hypergeometric function $F_K$
Abstract
In this paper, we first establish asymptotic expansions of the Humbert function $\Psi_1$ for one large variable. The resulting expansions are then used to derive an asymptotic expansion of Saran's hypergeometric function $F_K$ when two of its variables become simultaneously large.
- Publication:
-
arXiv e-prints
- Pub Date:
- May 2024
- DOI:
- 10.48550/arXiv.2405.00325
- arXiv:
- arXiv:2405.00325
- Bibcode:
- 2024arXiv240500325H
- Keywords:
-
- Mathematics - Classical Analysis and ODEs;
- 33C65;
- 33C70;
- 33C05
- E-Print:
- 18 pages