A subclass of harmonic univalent functions with varying arguments defined by generalized derivative operator

E. A. Eljamal, Maslina Darus

Research output: Contribution to journalArticle

1 Citation (Scopus)

Abstract

Making use of the generalized derivative operator, we introduce a new class of complex valued harmonic functions which are orientation preserving and univalent in the open unit disc and are related to uniformly convex functions. We investigate the coefficient bounds, neighborhood, and extreme points for this generalized class of functions.

Original languageEnglish
Article number610406
JournalAdvances in Decision Sciences
Volume2012
DOIs
Publication statusPublished - 2012

Fingerprint

Harmonic functions
Generalized Derivatives
Univalent Functions
Harmonic Functions
Coefficient Bounds
Derivatives
Uniformly Convex
Extreme Points
Operator
Unit Disk
Convex function
Class
Coefficients

ASJC Scopus subject areas

  • Decision Sciences(all)
  • Applied Mathematics
  • Computational Mathematics
  • Statistics and Probability

Cite this

@article{9d54298607a246b28daa52bf745a6bff,
title = "A subclass of harmonic univalent functions with varying arguments defined by generalized derivative operator",
abstract = "Making use of the generalized derivative operator, we introduce a new class of complex valued harmonic functions which are orientation preserving and univalent in the open unit disc and are related to uniformly convex functions. We investigate the coefficient bounds, neighborhood, and extreme points for this generalized class of functions.",
author = "Eljamal, {E. A.} and Maslina Darus",
year = "2012",
doi = "10.1155/2012/610406",
language = "English",
volume = "2012",
journal = "Advances in Decision Sciences",
issn = "2090-3359",
publisher = "Hindawi Publishing Corporation",

}

TY - JOUR

T1 - A subclass of harmonic univalent functions with varying arguments defined by generalized derivative operator

AU - Eljamal, E. A.

AU - Darus, Maslina

PY - 2012

Y1 - 2012

N2 - Making use of the generalized derivative operator, we introduce a new class of complex valued harmonic functions which are orientation preserving and univalent in the open unit disc and are related to uniformly convex functions. We investigate the coefficient bounds, neighborhood, and extreme points for this generalized class of functions.

AB - Making use of the generalized derivative operator, we introduce a new class of complex valued harmonic functions which are orientation preserving and univalent in the open unit disc and are related to uniformly convex functions. We investigate the coefficient bounds, neighborhood, and extreme points for this generalized class of functions.

UR - http://www.scopus.com/inward/record.url?scp=84858300207&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=84858300207&partnerID=8YFLogxK

U2 - 10.1155/2012/610406

DO - 10.1155/2012/610406

M3 - Article

AN - SCOPUS:84858300207

VL - 2012

JO - Advances in Decision Sciences

JF - Advances in Decision Sciences

SN - 2090-3359

M1 - 610406

ER -