Modified Dini functions: monotonicity patterns and functional inequalities

Baricz, S. Ponnusamy, S. Singh

Research output: Contribution to journalArticle

5 Citations (Scopus)

Abstract

We deduce some new functional inequalities, like Turán type inequalities, Redheffer type inequalities, and a Mittag-Leffler expansion for a special combination of modified Bessel functions of the first kind, called modified Dini functions. Moreover, we show the complete monotonicity of a quotient of modified Dini functions by involving a new continuous infinitely divisible probability distribution. The key tool in our proofs is a recently developed infinite product representation for a special combination of Bessel functions of the first kind, which was very useful in determining the radius of convexity of some normalized Bessel functions of the first kind.

Original languageEnglish
Pages (from-to)120-142
Number of pages23
JournalActa Mathematica Hungarica
Volume149
Issue number1
DOIs
Publication statusPublished - Jun 1 2016

Keywords

  • 33C10
  • 39B62
  • 42A05

ASJC Scopus subject areas

  • Mathematics(all)

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