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Zhurnal Vychislitel'noi Matematiki i Matematicheskoi Fiziki, 2014, Volume 54, Number 9, Pages 1387–1441
DOI: https://doi.org/10.7868/S0044466914090087 (Mi zvmmf10084) 		 
This article is cited in 21 scientific papers (total in 21 papers)

Studies on the zeros of Bessel functions and methods for their computation

M. K. Kerimov

Dorodnicyn Computing Center, Russian Academy of Sciences, ul. Vavilova 40, Moscow, 119333, Russia
Full-text PDF (2114 kB) Citations (21)
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DOI: https://doi.org/10.7868/S0044466914090087
Abstract: The zeros of Bessel functions play an important role in computational mathematics, mathematical physics, and other areas of natural sciences. Studies addressing these zeros (their properties, computational methods) can be found in various sources. This paper offers a detailed overview of the results concerning the real zeros of the Bessel functions of the first and second kinds and general cylinder functions. The author intends to publish several overviews on this subject. In this first publication, works dealing with real zeros are analyzed. Primary emphasis is placed on classical results, which are still important. Some of the most recent publications are also discussed.
Key words: Bessel functions, real zeros of Bessel functions, research and computation techniques.
Received: 14.04.2014
English version:
Computational Mathematics and Mathematical Physics, 2014, Volume 54, Issue 9, Pages 1337–1388
DOI: https://doi.org/10.1134/S0965542514090073
Bibliographic databases:
Document Type: Article
UDC: 519.65
Language: Russian
Citation: M. K. Kerimov, “Studies on the zeros of Bessel functions and methods for their computation”, Zh. Vychisl. Mat. Mat. Fiz., 54:9 (2014), 1387–1441; Comput. Math. Math. Phys., 54:9 (2014), 1337–1388
Citation in format AMSBIB
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    This publication is cited in the following 21 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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