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

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.

References in corpus (2)

• Connection Formulae for Asymptotics of Solutions of the Degenerate Third Painleve' Equation: II
• Total integrals of global solutions to Painleve II

Cited by in corpus (1)

• Meromorphic Solution of the Degenerate Third Painlevé Equation Vanishing at the Origin