On an identity for zeros of Bessel functions

Baricz, Árpád and Jankov Masirevic, Dragana and Pogány, Tibor K. and Szász, Róbert (2015) On an identity for zeros of Bessel functions. JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 422. ISSN 0022-247X

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Abstract

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.

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