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Zhurnal Vychislitel'noi Matematiki i Matematicheskoi Fiziki, 2016, Volume 56, Number 7, Pages 1200–1235
DOI: https://doi.org/10.7868/S0044466916070097 (Mi zvmmf10423) 		 
This article is cited in 4 scientific papers (total in 4 papers)

Studies on the zeros of Bessel functions and methods for their computation: 2. Monotonicity, convexity, concavity, and other properties

M. K. Kerimov

Dorodnicyn Computing Center, Russian Academy of Sciences
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DOI: https://doi.org/10.7868/S0044466916070097
Abstract: This work continues the study of real zeros of first- and second-kind Bessel functions and Bessel general functions with real variables and orders begun in the first part of this paper (see M.K. Kerimov, Comput. Math. Math. Phys. $\mathbf{54}$ (9), 1337–1388 (2014)). Some new results concerning such zeros are described and analyzed. Special attention is given to the monotonicity, convexity, and concavity of zeros with respect to their ranks and other parameters.
Key words: Bessel functions of first and second kinds, general cylinder functions, real zeros, concavity and convexity of zeros, monotonicity of zeros, overview.
Received: 27.01.2016
English version:
Computational Mathematics and Mathematical Physics, 2016, Volume 56, Issue 7, Pages 1175–1208
DOI: https://doi.org/10.1134/S0965542516070095
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: 2. Monotonicity, convexity, concavity, and other properties”, Zh. Vychisl. Mat. Mat. Fiz., 56:7 (2016), 1200–1235; Comput. Math. Math. Phys., 56:7 (2016), 1175–1208
Citation in format AMSBIB
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