On an identity for zeros of Bessel functions

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS

卷:422

Article

Baricz, Arpad^1,2  Masirevic, Dragana Jankov³  Pogany, Tibor K.⁴  Szasz, Robert⁵ 

[1] Univ Babes Bolyai, Dept Econ, Cluj Napoca 400591, Romania

[2] Obuda Univ, John von Neumann Fac Informat, Inst Appl Math, H-1034 Budapest, Hungary

[3] Univ Osijek, Dept Math, Osijek 31000, Croatia

[4] Univ Rijeka, Fac Maritime Studies, Rijeka 51000, Croatia

[5] Sapientia Hungarian Univ Transylvania, Dept Math & Informat, Targu Mures 540485, Romania

关键词: Bessel functions of the first kind;    Modified Bessel function;    Zeros of Bessel functions;    Struve functions;    Zeros of Struve functions;    Bessel differential equation;   

DOI  :  10.1016/j.jmaa.2014.08.014

来源: Elsevier

【 摘 要 】

In this paper our aim is to present an elementary proof of an identity of Calogero concerning the zeros of Bessel functions of the first kind. Moreover, by using our elementary approach we present a new identity for the zeros of Bessel functions of the first kind, which in particular reduces to some other new identities. We also show that our method can be applied for the zeros of other special functions, like Struve functions of the first kind, and modified Bessel functions of the second kind. (C) 2014 Elsevier Inc. All rights reserved.

【 授权许可】

Free