Properties of the turánian of modified bessel functions

István Mezo, Árpád Baricz

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Abstract

In this paper some new series and integral representations for the Turánian of modified Bessel functions of the first kind are given, which give new asymptotic expansions and tight bounds for the Turán determinant in the question. It is shown that in the case of natural and real order the Turánian can be represented in a relatively compact form, which yields a uniform upper bound for the Turán determinant for modified Bessel functions of the first kind. Our results complement and improve some of the results from the literature.

Original languageEnglish
Pages (from-to)991-1001
Number of pages11
JournalMathematical Inequalities and Applications
Volume20
Issue number4
DOIs
Publication statusPublished - Oct 2017

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Keywords

  • Modified Bessel functions.
  • Turánian

ASJC Scopus subject areas

  • Mathematics(all)
  • Applied Mathematics

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