Coefficient Bounds for Two Subclasses of Analytic Functions Involving a Limacon-Shaped Domain

Abstract

In the current exploration, we defined new subclasses of analytic functions, namely Rlim(l,ν) and Clim(l,ν), defined by subordination linked with a Limacon-shaped domain. We found a few initial coefficient bounds and Fekete–Szegő inequalities for the functions in the above-stated new classes. The corresponding results have been derived for the function h−1. Additionally, we discuss the Poisson distribution as an application of our consequences.

Keywords

• analytic
• starlike
• subordination
• Fekete–Szegő functional
• Hankel determinant
• convolution