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Rational Solutions of Painlevé V from Hankel Determinants and the Asymptotics of Their Pole Locations

In this paper, we analyze the asymptotic behaviour of the poles of certain rational solutions of the fifth Painlevé equation. These solutions are constructed by relating the corresponding tau function to a Hankel determinant of a certain sequence of moments. This approach was also used by one of the...

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Bibliographic Details
Published in:	Symmetry, Integrability and Geometry: Methods and Applications
Date:	2025
Main Authors:	Balogoun, Malik, Bertola, Marco
Format:	Article
Language:	English
Published:	Інститут математики НАН України 2025
Online Access:	https://nasplib.isofts.kiev.ua/handle/123456789/214185
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Journal Title:	Digital Library of Periodicals of National Academy of Sciences of Ukraine
Cite this:	Rational Solutions of Painlevé V from Hankel Determinants and the Asymptotics of Their Pole Locations. Malik Balogoun and Marco Bertola. SIGMA 21 (2025), 097, 50 pages

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Digital Library of Periodicals of National Academy of Sciences of Ukraine

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