Certain properties of a new subclass of analytic and p-valently close-to-convex functions

TL;DR

This paper introduces a new subclass of p-valently close-to-convex functions within the unit disk, exploring their properties and generalizing existing results in geometric function theory.

Contribution

It defines and investigates the properties of the subclass K_{s}^{(k)}({},p), including inclusion relationships and distortion theorems, extending known results.

Findings

Derived inclusion relationships for the new class

Established distortion theorems for the subclass

Generalized several recent results in the field

Abstract

In the present paper we introduce and investigate an interesting subclass K_{s}^{(k)}({\gamma},p) of analytic and p-valently close-to-convex functions in the open unit disk U. For functions belonging to this class, we derive several properties as the inclusion relationships and distortion theorems. The various results presented here would generalize many known recent results.