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 the generalized k k -Bessel functions, such as radii uniform convexity and α \alpha -convexity. In addition, we show that -convexity remain in between starlikeness convexity, case when ∈ [ 0 , 1 stretchy="false">] \in {[}0,1], they are decreasing with respect parameter . . key tools proof our results infinite product representations normalized functions real zeros these functions.