Studies on the zeros of Bessel functions and methods for their computation: 3. Some new works on monotonicity, convexity, and other properties-Reference-Cited by-同舟云学术

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

Published:2016-12 Issue:12 Volume:56 Page:1949-1991
ISSN:0965-5425
Container-title:Computational Mathematics and Mathematical Physics
language:en
Short-container-title:Comput. Math. and Math. Phys.

Author:

Kerimov M. K.

Publisher

Pleiades Publishing Ltd

Subject

Computational Mathematics

Link

http://link.springer.com/content/pdf/10.1134/S0965542516120125.pdf

Reference54 articles.

1. V. Abramowitz and I. N. Stegun, Handbook of Mathematical Functions, with Formulas, Graphs, and Mathematical Tables (Dover, New York, 1972; Nauka, Moscow, 1979).

2. R. A. Askey, “The q-gamma and q-beta-functions,” Appl. Anal. 8, 125–141 (1978).

3. J. M. Blatt and S. T. Butler, “Superfluidity of an ideal Bose–Einstein gas,” Phys. Rev. 100, 476–480 (1995).

4. M. Bôcher, “On certain methods of Sturm and their application to the roots of Bessel functions,” Bull. Am. Math. Soc. 3, 205–213 (1897).

5. A. Elbert, “Some inequalities concerning Bessel functions of firs kind,” Studia Sci. Math. Hungarica 6, 277–285 (1971).

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1. Studies on the Zeroes of Bessel Functions and Methods for Their Computation: IV. Inequalities, Estimates, Expansions, etc., for Zeros of Bessel Functions;Computational Mathematics and Mathematical Physics;2018-01

2. On inflection points of Bessel functions of the second kind of positive order;Integral Transforms and Special Functions;2017-10-09