ZEROS OF BESSEL FUNCTIONS: MONOTONICITY, CONCAVITY, INEQUALITIES

被引：0

作者：

Laforgia, Andrea ^{[1
]}

Natalini, Pierpaolo ^{[1
]}

机构：

[1] Roma Tre Univ, Dept Math, Largo San Leonardo Murialdo 1, I-00146 Rome, Italy

来源：

MATEMATICHE | 2007年 / 62卷 / 02期

关键词：

Sturm comparison theorem; zeros of Bessel functions; inequalities; monotonicity; concavity (convexity) properties; Watson formula;

D O I：

暂无

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We present a survey of the most important inequalities and monotonicity, concavity (convexity) results of the zeros of Bessel functions. The results refer to the definition j(vk) of the zeros of C-v(x) = J(v)(x) cos alpha Y-v(x) sin alpha, formulated in [6], where kappa is a continuous variable. Sometimes, also the Sturm comparison theorem is an important tool of our results.

引用

页码：255 / 270

页数：16

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