On a Harmonic Univalent Subclass of Functions Involving a Generalized Linear Operator

Abstract

In this paper, a subclass of complex-valued harmonic univalent functions defined by a generalized linear operator is introduced. Some interesting results such as coefficient bounds, compactness, and other properties of this class are obtained.

Generalized Briot-Bouquet Differential Equation Based on New Differential Operator with Complex Connections

“…Some inequalities involving the subordination concept were investigated. For future work, the idea of [22] will be used to present a harmonic class of Briot-Bouquet differential equations.…”

Classes of Harmonic Functions Related to Mittag-Leffler Function

“…Inclusion relations between different subclasses of analytic and univalent functions by using hypergeometric functions [10,31], generalized Bessel function [32][33][34] and by the recent investigations related with distribution series [35][36][37][38][39][40][41], were studied in the literature. Very recently, several authors have investigated mapping properties and inclusion results for the families of harmonic univalent functions, including various linear and nonlinear operators (see [42][43][44][45][46][47][48]).…”

Studying the Harmonic Functions Associated with Quantum Calculus

“…To determine coefficient estimates and inclusion relations, harmonic classes of holomorphic functions have recently been created and investigated. Yousef et al [1] defined a new subclass of univalent functions and acquire a few geometrical properties using a generalized linear operator. Using a certain convolution q-operator, Srivastava et al [2] introduced two new families of harmonic meromorphically functions and conducted investigations into the inclusion features.…”