Asymptotic expansion of Mathieu-Bessel series. II

2019/09/21 by R. B. Paris, Paris, R B
Mathematics · #Mathematical functions and polynomials #Functional Equations Stability Results #Analytic Number Theory Research

paper · pdf · doi:10.48550/arxiv.1909.09805

Abstract

We consider the asymptotic expansion of the Mathieu-Bessel series S_ν,γ^μ(a,b)=∑_n=1^∞ (n^γK_ν(nb/a))/((n²+a²)^μ), (μgt;0, ν≥ 0, bgt;0, γ∈ \bf R) as |a|→∞ in |arg a|

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