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

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

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.

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Veröffentlicht in:Journal of mathematical sciences (New York, N.Y.) N.Y.), 2019-11, Vol.242 (5), p.715-721
Hauptverfasser: Kitaev, A. V., Vartanian, A.
Format: Artikel
Sprache:eng
Schlagworte:
Asymptotic properties
Integrals
Mathematics
Mathematics and Statistics
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Beschreibung
Zusammenfassung: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.
ISSN:1072-3374
1573-8795
DOI:10.1007/s10958-019-04509-1