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On the coefficients of Neumann series of Bessel functions |
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| Authors: | Dragana Jankov Endre Süli |
| Institution: | a Department of Mathematics, University of Osijek, 31000 Osijek, Trg Lj. Gaja 6, Croatia b Faculty od Maritime Studies, University of Rijeka, 51000 Rijeka, Studentska 2, Croatia c Mathematical Institute, University of Oxford, Oxford OX1 3LB, UK |
| Abstract: | Recently Pogány and Süli (Proc. Amer. Math. Soc. 137 (7) (2009) 2363-2368) derived a closed-form integral expression for Neumann series of Bessel functions. In this note we precisely characterize the class of functions α that generate the integral representation of a Neumann series of Bessel functions in the sense that the restriction αN|=(αn) of a function α to the set N of all positive integers is the sequence of coefficients of the initial Neumann series. |
| Keywords: | Neumann series of Bessel functions |
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