Email this article Asymptotics of Integrals of Some Functions Related to the Degenerate Third Painlevé Equation
- Authors: Kitaev A.V.1, Vartanian A.2
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Affiliations:
- St. Petersburg Department of Steklov Institute of Mathematics
- College of Charleston, Department of Mathematics
- Issue: Vol 242, No 5 (2019)
- Pages: 715-721
- Section: Article
- URL: https://bakhtiniada.ru/1072-3374/article/view/243027
- DOI: https://doi.org/10.1007/s10958-019-04509-1
- ID: 243027
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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 dP3 vanishing at the origin are presented.
About the authors
A. V. Kitaev
St. Petersburg Department of Steklov Institute of Mathematics
Author for correspondence.
Email: kitaev@pdmi.ras.ru
Russian Federation, St. Petersburg
A. Vartanian
College of Charleston, Department of Mathematics
Email: kitaev@pdmi.ras.ru
United States, Charleston, SC, 29424
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