The asymptotic expansion of a function due to L.L. Karasheva

2021/03/03 by R. B. Paris, Paris, R B
Mathematics · #33C15 #33C70 #34E05 #41A30 #41A60 #Classical Analysis and ODEs (math.CA) #FOS: Mathematics #advanced mathematical theories

paper · pdf · doi:10.48550/arxiv.2103.02291

openalex publication_date 2021/03/03 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We consider the asymptotic expansion for x→±∞ of the entire function F_n,σ(x;μ)=∑_k=0^∞ (sin (nγ_k))/(sin γ_k) (x^k)/(k! Γ(μ-σk)), γ_k=((k+1)π)/(2n) for μ>0, 0

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