Asymptotics of Integrals of Some Functions Related to the Degenerate Third Painlevé Equation

2018/11/13 by A. V. Kitaev, Kitaev, A. V., A. H. Vartanian +1
Mathematics · Physics and Astronomy · #Advanced Differential Equations and Dynamical Systems #Classical Analysis and ODEs (math.CA) #FOS: Mathematics #Meromorphic and Entire Functions #Nonlinear Waves and Solitons

paper · pdf · doi:10.48550/arxiv.1811.05276

openalex publication_date 2018/11/13 · openalex created_date 2018/11/29 · openalex updated_date 2026/07/28

Abstract

It is shown how to calculate asymptotics of integrals over the positive semi-axis of two functions related to the Degenerate Third Painlevé Equation (dP3). As an example, the corresponding results for the meromorphic solution of the dP3 vanishing at the origin are presented.

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