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Zapiski Nauchnykh Seminarov POMI, 2002, Volume 285, Pages 53–57 (Mi znsl1552)  

This article is cited in 1 scientific paper (total in 1 paper)

Generating functions of the focus wave modes Bessel–Gauss type

V. V. Borisov

Saint-Petersburg State University
Full-text PDF (123 kB) Citations (1)
Abstract: Applying Bateman's transform to expansions of the plane and spherical waves in terms of the simple solutions to the wave equation we get the localized waves of Bessel-Gauss type. Generating functions of the waves are obtained too.
Received: 03.01.2002
English version:
Journal of Mathematical Sciences (New York), 2004, Volume 122, Issue 5, Pages 3482–3484
DOI: https://doi.org/10.1023/B:JOTH.0000034027.50056.12
Bibliographic databases:
UDC: 517
Language: Russian
Citation: V. V. Borisov, “Generating functions of the focus wave modes Bessel–Gauss type”, Mathematical problems in the theory of wave propagation. Part 31, Zap. Nauchn. Sem. POMI, 285, POMI, St. Petersburg, 2002, 53–57; J. Math. Sci. (N. Y.), 122:5 (2004), 3482–3484
Citation in format AMSBIB
\Bibitem{Bor02}
\by V.~V.~Borisov
\paper Generating functions of the focus wave modes Bessel--Gauss type
\inbook Mathematical problems in the theory of wave propagation. Part~31
\serial Zap. Nauchn. Sem. POMI
\yr 2002
\vol 285
\pages 53--57
\publ POMI
\publaddr St.~Petersburg
\mathnet{http://mi.mathnet.ru/znsl1552}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=1911111}
\zmath{https://zbmath.org/?q=an:1072.35508}
\transl
\jour J. Math. Sci. (N. Y.)
\yr 2004
\vol 122
\issue 5
\pages 3482--3484
\crossref{https://doi.org/10.1023/B:JOTH.0000034027.50056.12}
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  • This publication is cited in the following 1 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
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