An asymptotic formula of the divergent bilateral basic hypergeometric series

2012/05/07 by Takeshi Morita, Morita, Takeshi
Mathematics · #33D15 #34M40 #39A13 #Advanced Mathematical Identities #Analytic Number Theory Research #Classical Analysis and ODEs (math.CA) #FOS: Mathematics #Mathematical functions and polynomials

paper · pdf · doi:10.48550/arxiv.1205.1453

openalex publication_date 2012/05/07 · openalex created_date 2024/04/10 · openalex updated_date 2026/07/28

Abstract

We show an asymptotic formula of the divergent bilateral basic hypergeometric series ₁ψ₀ (a;-;q,⋅) with using the q-Borel-Laplace method. We also give the limit q→ 1-0 of our asymptotic formula.

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