Bounds for Radii of Starlikeness of Some q-Bessel Functions

İbrahim Aktaş, A. Baricz

Research output: Contribution to journalArticle

8 Citations (Scopus)

Abstract

In this paper the radii of starlikeness of Jackson’s second and third q-Bessel functions are considered and for each of them three different normalization are applied. By applying Euler–Rayleigh inequalities for the first positive zeros of these functions tight lower and upper bounds for the radii of starlikeness of these functions are obtained. The Laguerre–Pólya class of real entire functions plays an important role in this study. In particular, we obtain some new bounds for the first positive zero of the derivative of the classical Bessel function of the first kind.

Original languageEnglish
Pages (from-to)1-17
Number of pages17
JournalResults in Mathematics
DOIs
Publication statusAccepted/In press - Mar 21 2017

Fingerprint

Starlikeness
Bessel functions
Bessel Functions
Radius
Bessel function of the first kind
Zero
Entire Function
Normalization
Upper and Lower Bounds
Derivative
Derivatives
Class

Keywords

  • Euler–Rayleigh inequalities
  • Laguerre–Pólya class of entire functions
  • lower and upper bounds
  • Mittag–Leffler expansions
  • q-Bessel functions
  • radius of starlikeness
  • Starlike functions
  • zeros of q-Bessel functions

ASJC Scopus subject areas

  • Mathematics (miscellaneous)
  • Applied Mathematics

Cite this

Bounds for Radii of Starlikeness of Some q-Bessel Functions. / Aktaş, İbrahim; Baricz, A.

In: Results in Mathematics, 21.03.2017, p. 1-17.

Research output: Contribution to journalArticle

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