3rd-Order Differential Subordination and Superordination Results for Univalent Analytic Functions Associated with Zeta-Riemann Fractional Differential Operator.

Using the results of 3^rd order differential subordination, we introduce certain families of admissible functions and discuss some applications of 3^rd order differential subordination for normalized analytic functions associated with novel fractional operator namely Zeta-Riemann Fractional differential operator. Some new results on differential subordination and superordination with some sandwich theorems are obtained. Moreover, several particular cases are also noted. [ABSTRACT FROM AUTHOR]