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On some geometric results for generalized <i>k</i>-Bessel functions

On some geometric results for generalized <i>k</i>-Bessel functions

Abstract The main aim of this article is to present some novel geometric properties for three distinct normalizations of the generalized <m:math xmlns:m="http://www.w3.org/1998/Math/MathML"> <m:mi>k</m:mi> </m:math> k -Bessel functions, such as the radii of uniform convexity and of <m:math xmlns:m="http://www.w3.org/1998/Math/MathML"> <m:mi>α</m:mi> </m:math> \alpha -convexity. In addition, we show that the radii …