The Radius of (Formula presented.) -Convexity of Normalized Bessel Functions of the First Kind

A. Baricz, Halit Orhan, Róbert Szász

Research output: Contribution to journalArticle

12 Citations (Scopus)

Abstract

The radii of (Formula presented.) -convexity are deduced for three different kinds of normalized Bessel functions of the first kind and it is shown that these radii are between the radii of starlikeness and convexity, when (Formula presented.) , and they are decreasing with respect to the parameter (Formula presented.). The results presented in this paper unify some recent results on the radii of starlikeness and convexity for normalized Bessel functions of the first kind. The key tools in the proofs are some interlacing properties of the zeros of some Dini functions and the zeros of Bessel functions of the first kind.

Original languageEnglish
Pages (from-to)93-103
Number of pages11
JournalComputational Methods and Function Theory
Volume16
Issue number1
DOIs
Publication statusPublished - Mar 1 2016

Keywords

  • Bessel functions
  • Convex, starlike and (Formula presented.) -convex functions
  • Zeros of Bessel functions

ASJC Scopus subject areas

  • Analysis
  • Applied Mathematics
  • Computational Theory and Mathematics

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