Properties of Spiral-Like Close-to-Convex Functions Associated with Conic Domains

Abstract

In this paper, our aim is to define certain new classes of multivalently spiral-like, starlike, convex and the varied Mocanu-type functions, which are associated with conic domains. We investigate such interesting properties of each of these function classes, such as (for example) sufficiency criteria, inclusion results and integral-preserving properties.

Keywords

• analytic functions
• multivalent functions
• starlike functions
• close-to-convex functions
• uniformly starlike functions
• uniformly close-to-convex functions
• conic domains