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Zhurnal Vychislitel'noi Matematiki i Matematicheskoi Fiziki, 1990, Volume 30, Number 12, Pages 1775–1784 (Mi zvmmf3160)  
This article is cited in 1 scientific paper (total in 1 paper)

Some asymptotic formulae for cylindrical Bessel functions

M. K. Kerimov, S. L. Skorokhodov

Moscow
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Abstract: Asymptotic formulae, convenient for numerical work, are derived for cylindrical Bessel functions of the first, second and third kinds, for modified Bessel functions of the first and second kinds of complex argument and real order, and for their derivatives. These formulae are valid when both argument and order go to infinity simultaneously, subject to a certain law of growth. The formulae may be used to compute the zeros of all the Bessel functions and their derivatives.
Received: 04.09.1990
English version:
USSR Computational Mathematics and Mathematical Physics, 1990, Volume 30, Issue 6, Pages 126–133
DOI: https://doi.org/10.1016/0041-5553(90)90120-H
Bibliographic databases:
Document Type: Article
UDC: 519.6:517.584
MSC: Primary 33C10; Secondary 41A60
Language: Russian
Citation: M. K. Kerimov, S. L. Skorokhodov, “Some asymptotic formulae for cylindrical Bessel functions”, Zh. Vychisl. Mat. Mat. Fiz., 30:12 (1990), 1775–1784; U.S.S.R. Comput. Math. Math. Phys., 30:6 (1990), 126–133
Citation in format AMSBIB
\Bibitem{KerSko90}
\by M.~K.~Kerimov, S.~L.~Skorokhodov
\paper Some asymptotic formulae for cylindrical Bessel functions
\jour Zh. Vychisl. Mat. Mat. Fiz.
\yr 1990
\vol 30
\issue 12
\pages 1775--1784
\mathnet{http://mi.mathnet.ru/zvmmf3160}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=1099143}
\zmath{https://zbmath.org/?q=an:0716.33004}
\transl
\jour U.S.S.R. Comput. Math. Math. Phys.
\yr 1990
\vol 30
\issue 6
\pages 126--133
\crossref{https://doi.org/10.1016/0041-5553(90)90120-H}
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    • This publication is cited in the following 1 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Журнал вычислительной математики и математической физики Computational Mathematics and Mathematical Physics
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