Integral representation for Neumann series of Bessel functions
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- by Tibor K. Pogány and Endre Süli
- Proc. Amer. Math. Soc. 137 (2009), 2363-2368
- DOI: https://doi.org/10.1090/S0002-9939-09-09796-2
- Published electronically: 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.References
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Bibliographic Information
- 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
- Received by editor(s): May 31, 2007
- Received by editor(s) in revised form: September 22, 2008
- Published electronically: 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 2009 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 137 (2009), 2363-2368
- MSC (2000): Primary 33C10, 33C20; Secondary 40A05, 44A20
- DOI: https://doi.org/10.1090/S0002-9939-09-09796-2
- MathSciNet review: 2495270