Properties of the product of modified bessel functions

Árpád Baricz, Tibor K. Pogány

Research output: Chapter in Book/Report/Conference proceedingChapter

4 Citations (Scopus)

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.

Original languageEnglish
Title of host publicationAnalytic Number Theory, Approximation Theory, and Special Functions
Subtitle of host publicationIn Honor of Hari M. Srivastava
PublisherSpringer New York
Pages809-820
Number of pages12
Volume9781493902583
ISBN (Electronic)9781493902583
ISBN (Print)1493902571, 9781493902576
DOIs
Publication statusPublished - Nov 1 2014

ASJC Scopus subject areas

  • Mathematics(all)

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    Baricz, Á., & Pogány, T. K. (2014). Properties of the product of modified bessel functions. In Analytic Number Theory, Approximation Theory, and Special Functions: In Honor of Hari M. Srivastava (Vol. 9781493902583, pp. 809-820). Springer New York. https://doi.org/10.1007/978-1-4939-0258-3_31