On certain subclass of analytic functions with fixed point

T. Al-Hawary, B. A. Frasin, Maslina Darus

Research output: Contribution to journalArticle

1 Citation (Scopus)

Abstract

A new certain differential operator T α,β,δ,λ mf(z) and a subclass S m,w(α,β,γ,δ,λ) are introduced for functions of the form f(z) = (z-w)-n=2 a n (z-w) n which are univalent in the unit disc U = {z∈:|z|<1 }. In this paper, we obtain coefficient inequalities, distortion theorem, closure theorems, and class preserving integral operators of functions belonging to the class Sm,w(α,β,γ,δ,λ).

Original languageEnglish
Article number312387
JournalJournal of Applied Mathematics
Volume2013
DOIs
Publication statusPublished - 2013

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Mathematical operators
Analytic function
Fixed point
Coefficient Inequalities
Distortion Theorem
Integral Operator
Unit Disk
Differential operator
Closure
Theorem
Class
Form

ASJC Scopus subject areas

  • Applied Mathematics

Cite this

On certain subclass of analytic functions with fixed point. / Al-Hawary, T.; Frasin, B. A.; Darus, Maslina.

In: Journal of Applied Mathematics, Vol. 2013, 312387, 2013.

Research output: Contribution to journalArticle

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