Coefficient inequalities for a class of harmonic univalent functions

Abstract

In this paper, a new class of harmonic univalent function using the modified Salagean differential operator is introduced. New results on the new class are obtained. Distortion bounds, Convolution and Convex combination in the new class are also established. The work extended some earlier results .

Fekete-Szego estimates and second Hankel determinant for a generalized subfamily of analytic functions defined by q-differential operator

“…P is the familiar family of Carathéodory functions [12]. Now for p ∈ P, the following lemmas hold true.…”

Properties of a subclass of harmonic mappings with restricted analytic part

“…A new subclass of harmonic univalent functions using modified Salagean differential operator was defined and studied by Fadipe et.al. [6]. In [10], a new subclass of harmonic univalent functions defined by fractional calculus was introduced and investigated.…”