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.

New Uses of q-Generalized Janowski Function in q-Bounded Turning Functions

“…The ϱth Hankel determinant of f (z), a concept presented by [34] can be defined when b ≥ 1 and ϱ ≥ 1: [5,[35][36][37]. Srivastava et al [5] recently characterized a fascinating class of bi-univalent functions incorporating Euler polynomials and determined the second Hankel determinant for this specific class.…”