Asymptotics of Saran's hypergeometric function F_K

2024/05/01 by Peng-Cheng Hang, Hang, Peng-Cheng, Min-Jie Luo +1 · 1 citation
Mathematics · #33C05 #33C65 #33C70 #Analytic Number Theory Research #Classical Analysis and ODEs (math.CA) #FOS: Mathematics #Mathematical functions and polynomials #Mathematics and Applications

paper · pdf · doi:10.48550/arxiv.2405.00325

openalex publication_date 2024/05/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

In this paper, we first establish asymptotic expansions of the Humbert function Ψ₁ 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.

Cited by

• Erdélyi-type integrals for F_K function and their q-analogues

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