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

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. 54 (9), 1337–1388 (2014)). Some new results concerning such zeros are...

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Veröffentlicht in:Computational mathematics and mathematical physics 2016-07, Vol.56 (7), p.1175-1208
1. Verfasser: Kerimov, M. K.
Format: Artikel
Sprache:eng
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Zusammenfassung: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. 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.
ISSN:0965-5425
1555-6662
DOI:10.1134/S0965542516070095