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Properties of the Product of Modified Bessel Functions

In: Analytic Number Theory, Approximation Theory, and Special Functions

Author

Listed:
  • Árpád Baricz

    (Babeş-Bolyai University, Department of Economics)

  • Tibor K. Pogány

    (University of Rijeka, Faculty of Maritime Studies)

Abstract

Discrete Chebyshev-type inequalities are established for sequences of modified Bessel functions of the first and second kind, recognizing that the sums involved are actually Neumann series of modified Bessel functions I ν and K ν . Moreover, new closed integral expression formulae are established for the Neumann series of second type, which occur in the discrete Chebyshev inequalities.

Suggested Citation

  • Árpád Baricz & Tibor K. Pogány, 2014. "Properties of the Product of Modified Bessel Functions," Springer Books, in: Gradimir V. Milovanović & Michael Th. Rassias (ed.), Analytic Number Theory, Approximation Theory, and Special Functions, edition 127, pages 809-820, Springer.
    • Handle: RePEc:spr:sprchp:978-1-4939-0258-3_31
    DOI: 10.1007/978-1-4939-0258-3_31
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