Proceedings of the American Mathematical Society

Author(s): Tibor K. Pogány; Endre Süli
Journal: Proc. Amer. Math. Soc. 137 (2009), 2363-2368.
MSC (2000): Primary 33C10, 33C20; Secondary 40A05, 44A20
Posted: January 22, 2009
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Abstract: A closed integral expression is derived for Neumann series of Bessel functions -- a series of Bessel functions of increasing order -- over the set of real numbers.

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Retrieve articles in Proceedings of the American Mathematical Society with MSC (2000): 33C10, 33C20, 40A05, 44A20

Tibor K. Pogány
Affiliation: Faculty of Maritime Studies, University of Rijeka, Studentska 2, HR-51000 Rijeka, Croatia
Email: poganj@brod.pfri.hr

Endre Süli
Affiliation: Oxford University Computing Laboratory, Wolfson Building, Parks Road, Oxford, OX1 3QD, England
Email: Endre.Suli@comlab.ox.ac.uk

DOI: 10.1090/S0002-9939-09-09796-2
PII: S 0002-9939(09)09796-2
Keywords: Bessel function of the first kind $J_\nu (x)$, integral representation of series, Neumann series of Bessel functions
Received by editor(s): May 31, 2007,
Received by editor(s) in revised form: September 22, 2008
Posted: January 22, 2009
Additional Notes: The first author was supported in part by Research Project No. 112-2352818-2814 of the Ministry of Sciences, Education and Sports of Croatia.
Communicated by: Peter A. Clarkson
Copyright of article: Copyright 2009, American Mathematical Society

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