STARLIKENESS ANALYSIS IN INTEGRAL OPERATORS WITH GENERALIZED BESSEL FUNCTIONS

Abstract

This study investigates requirements for integral operators starlikeness defined through generalized Bessel functions. The approach involves differential subordination and convexity conditions related to the generalized Bessel function parameters. We establish necessary and sufficient conditions for these operators to produce starlike functions within the unit disk. The famous Alexander, Libra, and Bernardi integral operators can be obtained for specific values of the parameters defining the recently developed operator involving the generalization of Bessel function.