Radii of uniform convexity of some special functions

Authors

İBRAHİM AKTAŞ
EVRİM TOKLU
HALİT ORHAN

DOI

10.3906/mat-1806-43

Abstract

In this investigation our main aim is to determine the radii of uniform convexity of selected normalized $ q $-Bessel and Wright functions. Here we consider six different normalized forms of $ q $-Bessel functions and we apply three different kinds of the normalization of the Wright function. We also show that the obtained radii are the smallest positive roots of some functional equations.

Keywords

Radius of uniform convexity, Mittag-Leffler expansions, q-Bessel functions, Wright function

First Page

3010

Last Page

3024

Recommended Citation

AKTAŞ, İBRAHİM; TOKLU, EVRİM; and ORHAN, HALİT (2018) "Radii of uniform convexity of some special functions," Turkish Journal of Mathematics: Vol. 42: No. 6, Article 15. https://doi.org/10.3906/mat-1806-43
Available at: https://journals.tubitak.gov.tr/math/vol42/iss6/15