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Zhurnal Vychislitel'noi Matematiki i Matematicheskoi Fiziki, 2016, Volume 56, Number 12, Pages 1986–2030
DOI: https://doi.org/10.7868/S0044466916120140 (Mi zvmmf10490) 		 
This article is cited in 2 scientific papers (total in 2 papers)

Studies on the zeros of Bessel functions and methods for their computation: 3. Some new works on monotonicity, convexity, and other properties

M. K. Kerimov

Dorodnicyn Computing Center, Federal Research Center "Computer Science and Control", Russian Academy of Sciences, Moscow, Russia
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DOI: https://doi.org/10.7868/S0044466916120140
Abstract: This paper continues the study of real zeros of Bessel functions begun in the previous parts of this work (see M. K. Kerimov, Comput. Math. Math. Phys. 54 (9), 1337–1388 (2014); 56 (7), 1175–1208 (2016)). Some new results regarding the monotonicity, convexity, concavity, and other properties of zeros are described. Additionally, the zeros of $q$-Bessel functions are investigated.
Key words: Bessel functions, $q$-Bessel functions, real zeros, monotonicity, convexity, and concavity of zeros, overview.
Received: 15.06.2016
English version:
Computational Mathematics and Mathematical Physics, 2016, Volume 56, Issue 12, Pages 1949–1991
DOI: https://doi.org/10.1134/S0965542516120125
Bibliographic databases:
Document Type: Article
UDC: 519.651
Language: Russian
Citation: M. K. Kerimov, “Studies on the zeros of Bessel functions and methods for their computation: 3. Some new works on monotonicity, convexity, and other properties”, Zh. Vychisl. Mat. Mat. Fiz., 56:12 (2016), 1986–2030; Comput. Math. Math. Phys., 56:12 (2016), 1949–1991
Citation in format AMSBIB
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