<abstract xmlns="http://www.w3.org/1999/xhtml"><p>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.</p></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.

Radii problems for normalized q−Bessel and Wright functions

Department of Mathematics, Faculty of Education

Department of Mathematics, Kamil Özdağ Science Faculty

Department of Mathematics, Faculty of Science

Acta Universitatis Sapientiae, Mathematica

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.

{"article-title":"Radii problems for normalized q−Bessel and Wright functions"}

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...

Radii problems for normalized q−Bessel and Wright functions

Published Online: Aug 17, 2019

Page range: 203 - 223

Received: Jan 19, 2018

DOI: https://doi.org/10.2478/ausm-2019-0016

Keywords
k-uniform convex functions, radius of k-uniform convexity of order, Mittag-Leffer expansions, Wright and q-Bessel functions, strong starlikeness

© 2019 Evrim Toklu et al., published by Sciendo

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.

Radii problems for normalized q−Bessel and Wright functions

Published Online: Aug 17, 2019

Page range: 203 - 223

Received: Jan 19, 2018

DOI: https://doi.org/10.2478/ausm-2019-0016

Keywordsk-uniform convex functions, radius of k-uniform convexity of order, Mittag-Leffer expansions, Wright and q-Bessel functions, strong starlikeness

© 2019 Evrim Toklu et al., published by Sciendo

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.

Keywords
k-uniform convex functions, radius of k-uniform convexity of order, Mittag-Leffer expansions, Wright and q-Bessel functions, strong starlikeness