Fourth-order differential subordination results for analytic functions involving the generalized Bessel functions

Abstract

In this current paper, we obtain fourth-order differential subordination results for analytic functions in the open unit disk ∆ = {z : z ∈ C and |z| < 1} associated with a new operator Sγ,kα,βf(z) which involves the generalized Bessel function of the 1st kind of order p and the Carlson-Shaffer operator. We also derive some interesting new results for this operator. The results are obtained by considering suitable classes of admissible functions.