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

被引：3

作者：

Kerimov, M. K. ^{[1
]}

机构：

[1] Russian Acad Sci, Dorodnicyn Comp Ctr, Ul Vavilova 40, Moscow 119333, Russia

来源：

COMPUTATIONAL MATHEMATICS AND MATHEMATICAL PHYSICS | 2016年 / 56卷 / 07期

关键词：

Bessel functions of first and second kinds; general cylinder functions; real zeros; concavity and convexity of zeros; monotonicity of zeros; overview; FUNCTIONS JV(Z); DERIVATIVES; INEQUALITIES;

D O I：

10.1134/S0965542516070095

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

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.

引用

页码：1175 / 1208

页数：34

共 42 条

[1] Studies on the zeros of Bessel functions and methods for their computation: 2. Monotonicity, convexity, concavity, and other properties
M. K. Kerimov
[J]. Computational Mathematics and Mathematical Physics, 2016, 56 : 1175 - 1208
[2] Studies on the zeros of Bessel functions and methods for their computation: 3. Some new works on monotonicity, convexity, and other properties
M. K. Kerimov
[J]. Computational Mathematics and Mathematical Physics, 2016, 56 : 1949 - 1991
[3] Studies on the zeros of Bessel functions and methods for their computation: 3. Some new works on monotonicity, convexity, and other properties
Kerimov, M. K.
[J]. COMPUTATIONAL MATHEMATICS AND MATHEMATICAL PHYSICS, 2016, 56 (12) : 1949 - 1991
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[5] MONOTONICITY AND CONVEXITY PROPERTIES OF ZEROS OF BESSEL FUNCTIONS
LEWIS, JT
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Natalini, Pierpaolo
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[8] Studies on the zeros of Bessel functions and methods for their computation
M. K. Kerimov
[J]. Computational Mathematics and Mathematical Physics, 2014, 54 : 1337 - 1388
[9] Studies on the zeros of Bessel functions and methods for their computation
Kerimov, M. K.
[J]. COMPUTATIONAL MATHEMATICS AND MATHEMATICAL PHYSICS, 2014, 54 (09) : 1337 - 1388
[10] MONOTONICITY PROPERTIES OF THE ZEROS OF BESSEL-FUNCTIONS
ELBERT, A
LAFORGIA, A
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