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Zapiski Nauchnykh Seminarov POMI, 2018, Volume 473, Pages 194–204 (Mi znsl6662)  
This article is cited in 3 scientific papers (total in 3 papers)

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

A. V. Kitaeva, A. Vartanyanb

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
Full-text PDF (366 kB) Citations (3)
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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 the dP3 vanishing at the origin are presented.
Key words and phrases: Painlevé equations, asymptotics, meromorphic function.
Funding agency Grant number
Russian Foundation for Basic Research 16-01-00296_а
The first author is supported by the Russian Foundation for Basic Research, grant No. 16-01-00296.
Received: 09.11.2018
English version:
Journal of Mathematical Sciences (New York), 2019, Volume 242, Issue 5, Pages 715–721
DOI: https://doi.org/10.1007/s10958-019-04509-1
Bibliographic databases:
Document Type: Article
UDC: 517.9
Language: English
Citation: A. V. Kitaev, A. Vartanyan, “Asymptotics of integrals of some functions related to the degenerate third Painlevé equation”, Questions of quantum field theory and statistical physics. Part 25, Zap. Nauchn. Sem. POMI, 473, POMI, St. Petersburg, 2018, 194–204; J. Math. Sci. (N. Y.), 242:5 (2019), 715–721
Citation in format AMSBIB
\Bibitem{KitVar18}
\by A.~V.~Kitaev, A.~Vartanyan
\paper Asymptotics of integrals of some functions related to the degenerate third Painlev\'e equation
\inbook Questions of quantum field theory and statistical physics. Part~25
\serial Zap. Nauchn. Sem. POMI
\yr 2018
\vol 473
\pages 194--204
\publ POMI
\publaddr St.~Petersburg
\mathnet{http://mi.mathnet.ru/znsl6662}
\transl
\jour J. Math. Sci. (N. Y.)
\yr 2019
\vol 242
\issue 5
\pages 715--721
\crossref{https://doi.org/10.1007/s10958-019-04509-1}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-85074198323}
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  • https://www.mathnet.ru/eng/znsl/v473/p194
    • This publication is cited in the following 3 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
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