Differential Subordinations Involving Generalized Bessel Functions

TL;DR

This paper explores subordination and superordination results involving an operator with generalized Bessel functions, providing new inequalities and special cases in the theory of analytic functions.

Contribution

It introduces novel subordination and superordination results using an operator based on normalized generalized Bessel functions, expanding the theoretical framework.

Findings

Derived new subordination and superordination inequalities.

Established sandwich-type results for generalized Bessel functions.

Identified special cases connecting to known functions.

Abstract

In this paper our aim is to present some subordination and superordination results, by using an operator, which involves the normalized form of the generalized Bessel functions of first kind. These results are obtained by investigating some appropriate classes of admissible functions. We obtain also some sandwich-type results and we point out various known or new special cases of our main results.