Some Properties of the Class of Univalent Functions Involving a New Generalized Differential Operator
The main purpose of this paper is to introduce new generalized differential operator A
μ
m, λ(α,β)f(z) defined in the open unit disc U = {z ∈ : |z| < 1}. We then, using this operator
to introduce novel subclass Ω
m
*(δ,λ,α,β,b) by using the operator A
μ
m, λ(α,β)f(z). Then, we discuss coefficient estimates growth and distortion theorems, closure
theorems and integral operator.
Keywords: Coefficient Estimates; Differential Operator; Growth and Disctortion Theorems; Integral Operator
Document Type: Research Article
Affiliations: 1: School of Mathematical Sciences Faculty of Science and Technology Universiti Kebangsaan Malaysia Bangi 43600 Selangor D. Ehsan, Malaysia 2: Department of Applied Science, Ajloun College, Al-Balqa Applied University, Ajloun 26816, Jordan
Publication date: 01 October 2016
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