An Application of Touchard Polynomials on Subclasses of Analytic Functions.

The aim of this work is to discuss some conditions for Touchard polynomials to be in the classes  TB b (ρ , σ)  and  TK b (ρ , σ) . Also, we obtain some connection between  R η (D , E)  and  TK b (ρ , σ) . Also, we investigate several mapping properties involving these subclasses. Further, we discuss the geometric properties of an integral operator related to the Touchard polynomial. Additionally, briefly mentioned are specific instances of our primary results. Also, several particular examples are presented. [ABSTRACT FROM AUTHOR]