On a Certain Subclass of Analytic Functions Defined by Touchard Polynomials

This paper focuses on the establishment of a new subfamily of analytic functions including Touchard polynomials. Then, we attempt to obtain geometric properties such as coefficient inequalities, distortion properties, extreme points, radii of starlikeness and convexity, partial sums, neighbourhood results and integral means' inequality for this class. The symmetry properties of the subfamily of functions established in the current paper may be examined as future research directions.