Asymptotics of Integrals of Some Functions Related to the Degenerate Third Painlev\'e Equation
A. V. Kitaev, A. Vartanian
TL;DR
This paper develops methods to compute the asymptotic behavior of integrals linked to the degenerate third Painlevé equation, providing explicit results for solutions that vanish at the origin.
Contribution
It introduces a technique for asymptotic analysis of integrals associated with the degenerate third Painlevé equation, including explicit calculations for specific solutions.
Findings
Asymptotic formulas for integrals related to dP3 are derived.
Results are exemplified for the meromorphic solution vanishing at zero.
The approach enhances understanding of the asymptotic properties of dP3 solutions.
Abstract
It is shown how to calculate asymptotics of integrals over the positive semi-axis of two functions related to the Degenerate Third Painlev\'e 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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Taxonomy
TopicsAdvanced Differential Equations and Dynamical Systems · Nonlinear Waves and Solitons · Meromorphic and Entire Functions