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Proceedings of the American Mathematical Society

Published by the American Mathematical Society since 1950, Proceedings of the American Mathematical Society is devoted to shorter research articles in all areas of pure and applied mathematics.

ISSN 1088-6826 (online) ISSN 0002-9939 (print)

The 2020 MCQ for Proceedings of the American Mathematical Society is 0.85.

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Integral representation for Neumann series of Bessel functions
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by Tibor K. Pogány and Endre Süli PDF
Proc. Amer. Math. Soc. 137 (2009), 2363-2368 Request permission

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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Additional 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