This article is cited 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

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.

UDC: 519.651

Received: 27.01.2016

DOI: 10.7868/S0044466916070097

 English version: Computational Mathematics and Mathematical Physics, 2016, 56:7, 1175–1208

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