Properties of the Product of Modified Bessel Functions

Árpád Baricz () and Tibor K. Pogány ()
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Árpád Baricz: Babeş-Bolyai University, Department of Economics
Tibor K. Pogány: University of Rijeka, Faculty of Maritime Studies

A chapter in Analytic Number Theory, Approximation Theory, and Special Functions, 2014, pp 809-820 from Springer

Abstract: 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.

Keywords: Modified Bessel Function; Neumann Series; Baricz; Suitable Real Function; Euler-Maclaurin Summation Formula (search for similar items in EconPapers)
Date: 2014
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-1-4939-0258-3_31

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DOI: 10.1007/978-1-4939-0258-3_31

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