Radii problems for normalized q-Bessel and Wright functions

Toklu E., Aktas I., ORHAN H.

ACTA UNIVERSITATIS SAPIENTIAE-MATHEMATICA, vol.11, no.1, pp.203-223, 2019 (ESCI) identifier identifier

  • Publication Type: Article / Article
  • Volume: 11 Issue: 1
  • Publication Date: 2019
  • Doi Number: 10.2478/ausm-2019-0016
  • Journal Name: ACTA UNIVERSITATIS SAPIENTIAE-MATHEMATICA
  • Journal Indexes: Emerging Sources Citation Index (ESCI), Scopus
  • Page Numbers: pp.203-223
  • Keywords: k-uniform convex functions, radius of k-uniform convexity of order alpha, Mittag-Leffler expansions, Wright and q-Bessel functions, strong starlikeness, GEOMETRIC-PROPERTIES, CONVEXITY, STARLIKENESS, BOUNDS
  • Ataturk University Affiliated: Yes

Abstract

In this investigation, our main objective is to ascertain the radii of k-uniform convexity of order alpha and the radii of strong starlikeness of the some normalized q-Bessel and Wright functions. In making this investigation we deal with the normalized Wright functions for three different kinds of normalization and six different normalized forms of q-Bessel functions. The key tools in the proof of our main results are the Mittag-Leffler expansion for Wright and q-Bessel functions and properties of real zeros of these functions and their derivatives. We also have shown that the obtained radii are the smallest positive roots of some functional equations.