This article is cited 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

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.

UDC: 519.651

Received: 15.06.2016

DOI: 10.7868/S0044466916120140

 English version: Computational Mathematics and Mathematical Physics, 2016, 56:12, 1949–1991

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