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


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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.

About the authors

M. K. Kerimov

Dorodnicyn Computing Center, Federal Research Center “Computer Science and Control,”

Author for correspondence.
Email: comp_math@ccas.ru
Russian Federation, Moscow, 119333

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