On an identity for zeros of Bessel functions (CROSBI ID 211688)
Prilog u časopisu | izvorni znanstveni rad | međunarodna recenzija
Podaci o odgovornosti
Baricz, Arpad ; Jankov Maširević, Dragana ; Poganj, Tibor ; Szasz, Robert
engleski
On an identity for zeros of Bessel functions
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.
Bessel functions of the first kind ; Modified Bessel function ; Zeros of Bessel functions ; Struve functions ; Zeros of Struve functions ; Bessel differential equation
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Podaci o izdanju
422 (1)
2015.
27-36
objavljeno
0022-247X
10.1016/j.jmaa.2014.08.014