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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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.

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M. Kerimov

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

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Email: comp_math@ccas.ru
俄罗斯联邦, Moscow, 119333

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