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Radii problems for normalized q−Bessel and Wright functions Cover

Radii problems for normalized q−Bessel and Wright functions

Open Access
|Aug 2019

Abstract

In this investigation, our main objective is to ascertain the radii of k-uniform convexity of order 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-Leffer 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.

Language: English
Page range: 203 - 223
Submitted on: Jan 19, 2018
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Published on: Aug 17, 2019
In partnership with: Paradigm Publishing Services
Publication frequency: 2 issues per year

© 2019 Evrim Toklu, İbrahim Aktaş, Halit Orhan, published by Sapientia Hungarian University of Transylvania
This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.