Radii of starlikeness and convexity of wright functions

A. Baricz, Evrim Toklu, E. Kadıoğlu

Research output: Contribution to journalArticle

2 Citations (Scopus)

Abstract

In this paper, our aim is to find the radii of starlikeness and convexity of the normalized Wright functions for three different kinds of normalization. The key tools in the proof of our main results are the Mittag-Leffler expansion for Wright function and properties of real zeros of the Wright function and its derivative. In addition, by using the Euler-Rayleigh inequalities we obtain some tight lower and upper bounds for the radii of starlikeness and convexity of order zero for the normalized Wright functions. The main results of the paper are natural extensions of some known results on classical Bessel functions of the first kind. Some open problems are also proposed, which may be of interest for further research.

Original languageEnglish
Pages (from-to)97-117
Number of pages21
JournalMathematical Communications
Volume23
Issue number1
Publication statusPublished - May 1 2018

Fingerprint

Wright Function
Starlikeness
Convexity
Radius
Bessel function of the first kind
Bessel functions
Zero
Natural Extension
Rayleigh
Normalization
Euler
Upper and Lower Bounds
Open Problems
Derivatives
Derivative

Keywords

  • Laguerre-pólya class of entire functions
  • Mittag-leffler expansion
  • Radius of starlikeness and convexity
  • Starlike functions
  • Univalent
  • Wright function
  • Zeros of wright function

ASJC Scopus subject areas

  • Analysis
  • Algebra and Number Theory
  • Geometry and Topology
  • Applied Mathematics

Cite this

Radii of starlikeness and convexity of wright functions. / Baricz, A.; Toklu, Evrim; Kadıoğlu, E.

In: Mathematical Communications, Vol. 23, No. 1, 01.05.2018, p. 97-117.

Research output: Contribution to journalArticle

Baricz, A, Toklu, E & Kadıoğlu, E 2018, 'Radii of starlikeness and convexity of wright functions', Mathematical Communications, vol. 23, no. 1, pp. 97-117.
Baricz, A. ; Toklu, Evrim ; Kadıoğlu, E. / Radii of starlikeness and convexity of wright functions. In: Mathematical Communications. 2018 ; Vol. 23, No. 1. pp. 97-117.
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