Itogi Nauki i Tekhniki. Sovremennaya Matematika i ee Prilozheniya. Tematicheskie Obzory
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Itogi Nauki i Tekhniki. Sovremennaya Matematika i ee Prilozheniya. Tematicheskie Obzory, 2020, Volume 187, Pages 36–43
DOI: https://doi.org/10.36535/0233-6723-2020-187-36-43 (Mi into730) 		 
This article is cited in 8 scientific papers (total in 8 papers)

Family of Bessel operator functions

A. V. Glushak

Belgorod State University
Full-text PDF (198 kB) Citations (8) English version article
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DOI: https://doi.org/10.36535/0233-6723-2020-187-36-43
Abstract: A family of Bessel operator functions and a generator of this family are introduced and considered. Their properties are studied, a criterion of the uniform well-posedness of the Cauchy problem for the Euler–Poisson–Darboux equation is obtained, and the connections of this family with a series of other solving operators are found.
Keywords: Bessel operator function, generator, Euler–Poisson–Darboux equation, Cauchy problem, uniform well-posedness criterion.
Funding agency Grant number
Russian Foundation for Basic Research 19-01-00732
This work was supported by the Russian Foundation for Basic Research (project No. 19-01-00732).
English version:
Journal of Mathematical Sciences (New York), 2025, Volume 287, Issue 5, Pages 721–728
DOI: https://doi.org/10.1007/s10958-025-07636-0
Bibliographic databases:
Document Type: Article
UDC: 517.983.23
MSC: 34G10
Language: Russian
Citation: A. V. Glushak, “Family of Bessel operator functions”, Geometry and Mechanics, Itogi Nauki i Tekhniki. Sovrem. Mat. Pril. Temat. Obz., 187, VINITI, Moscow, 2020, 36–43; J. Math. Sci. (N. Y.), 287:5 (2025), 721–728
Citation in format AMSBIB
\Bibitem{Glu20}
\by A.~V.~Glushak
\paper Family of Bessel operator functions
\inbook Geometry and Mechanics
\serial Itogi Nauki i Tekhniki. Sovrem. Mat. Pril. Temat. Obz.
\yr 2020
\vol 187
\pages 36--43
\publ VINITI
\publaddr Moscow
\mathnet{http://mi.mathnet.ru/into730}
\crossref{https://doi.org/10.36535/0233-6723-2020-187-36-43}
\mathscinet{https://mathscinet.ams.org/mathscinet-getitem?mr=4672034}
\transl
\jour J. Math. Sci. (N. Y.)
\yr 2025
\vol 287
\issue 5
\pages 721--728
\crossref{https://doi.org/10.1007/s10958-025-07636-0}
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    • This publication is cited in the following 8 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Itogi Nauki i Tekhniki. Sovremennaya Matematika i ee Prilozheniya. Tematicheskie Obzory Itogi Nauki i Tekhniki. Sovremennaya Matematika i ee Prilozheniya. Tematicheskie Obzory
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