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On an identity for zeros of Bessel functions |
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| Authors: | Árpád Baricz Dragana Jankov Maširevi? Tibor K Pogány Róbert Szász |
| Institution: | 1. Department of Economics, Babe?–Bolyai University, 400591 Cluj-Napoca, Romania;2. Institute of Applied Mathematics, John von Neumann Faculty of Informatics, Óbuda University, 1034 Budapest, Hungary;3. Department of Mathematics, University of Osijek, 31000 Osijek, Croatia;4. Faculty of Maritime Studies, University of Rijeka, 51000 Rijeka, Croatia;5. Department of Mathematics and Informatics, Sapientia Hungarian University of Transylvania, 540485 Târgu-Mure?, Romania |
| 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. |
| Keywords: | 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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