Some properties of the class of univalent functions involving a new generalized differential operator

A. A. Amourah, T. Al-Hawary, Maslina Darus

Research output: Contribution to journalArticle

1 Citation (Scopus)

Abstract

The main purpose of this paper is to introduce new generalized differential operator Aμ, λm (α,β) f(z) defined in the open unit disc U = {z ∈ : ℂ|z| < 1}. We then, using this operator to introduce novel subclass ω m(δ,λ,αβ,b) by using the operator Aμ, λm (α,β)f(z). Then, we discuss coefficient estimates, growth and distortion theorems, closure theorems and integral operator.

Original languageEnglish
Pages (from-to)6797-6799
Number of pages3
JournalJournal of Computational and Theoretical Nanoscience
Volume13
Issue number10
DOIs
Publication statusPublished - 2016

Fingerprint

Univalent Functions
differential operators
Mathematical operators
Differential operator
Distortion Theorem
operators
Coefficient Estimates
theorems
Operator
Integral Operator
Unit Disk
Closure
closures
Theorem
coefficients
estimates
Class

Keywords

  • Coefficient estimates
  • Differential operator
  • Growth and disctortion theorems
  • Integral operator

ASJC Scopus subject areas

  • Chemistry(all)
  • Materials Science(all)
  • Condensed Matter Physics
  • Computational Mathematics
  • Electrical and Electronic Engineering

Cite this

Some properties of the class of univalent functions involving a new generalized differential operator. / Amourah, A. A.; Al-Hawary, T.; Darus, Maslina.

In: Journal of Computational and Theoretical Nanoscience, Vol. 13, No. 10, 2016, p. 6797-6799.

Research output: Contribution to journalArticle

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