Abstract

The aim of this work is to discuss some conditions for Touchard polynomials to be in the classes TBb(ρ,σ) and TKb(ρ,σ). Also, we obtain some connection between Rη(D,E) and TKb(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.

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