ON THE ZEROS OF THE MACDONALD FUNCTIONS

被引：0

作者：

Hamana, Yuji ^{[1
]}

Matsumoto, Hiroyuki ^{[2
]}

Shirai, Tomoyuki ^{[3
]}

机构：

[1] Kumamoto Univ, Dept Math, Kurokami 2-39-1, Kumamoto 8608555, Japan

[2] Aoyama Gakuin Univ, Dept Phys & Math, Fuchinobe 5-10-1, Sagamihara, Kanagawa 2525258, Japan

[3] Kyushu Univ, Inst Math Ind, Motooka 744, Fukuoka, Fukuoka 8190395, Japan

来源：

OPUSCULA MATHEMATICA | 2019年 / 39卷 / 03期

基金：

日本学术振兴会;

关键词：

zeros; Macdonald functions; Bessel functions; HITTING TIMES; VOLUME;

D O I：

10.7494/OpMath.2019.39.3.361

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We are concerned with the zeros of the Macdonald functions or the modified Bessel functions of the second kind with real index. By using the explicit expressions for the algebraic equations satisfied by the zeros, we describe the behavior of the zeros when the index moves. Results by numerical computations are also presented.

引用

页码：361 / 382

页数：22

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