A. V. Kitaev, A. Vartanyan, “Asymptotics of integrals of some functions related to the degenerate third Painlevé equation”, Zap. Nauchn. Sem. POMI, 2018, Volume 473,Pages <nobr>194

This article is cited in 3 papers

Asymptotics of integrals of some functions related to the degenerate third Painlevé equation

A. V. Kitaev^a, A. Vartanyan^b

^a St. Petersburg Department of Steklov Mathematical Institute of Russian Academy of Sciences, St. Petersburg, Russia
^b Department of Mathematics, College of Charleston, Charleston, SC 29424, USA

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.

Key words and phrases: Painlevé equations, asymptotics, meromorphic function.

UDC: 517.9

Received: 09.11.2018

Language: English