On general integral operator of analytic functions

Nasser Alkasbi, Maslina Darus

Research output: Contribution to journalArticle

Abstract

Let Eβ be the integral operator defined by Eβz =β∫0ztβ-1f1′tα1f1t/tγ1P1ζ1tfn′ tαnfnt/tγnPnζntdt1/β, where each of the functions fi and Pi is, respectively, analytic functions and functions with positive real part defined in the open unit disk for all i=1,.,n. The object of this paper is to obtain several univalence conditions for this integral operator. Our main results contain some interesting corollaries as special cases.

Original languageEnglish
Article number621810
JournalAbstract and Applied Analysis
Volume2013
DOIs
Publication statusPublished - 2013

Fingerprint

Integral Operator
Mathematical operators
Analytic function
Pi
Unit Disk
Corollary
Object

ASJC Scopus subject areas

  • Analysis
  • Applied Mathematics

Cite this

On general integral operator of analytic functions. / Alkasbi, Nasser; Darus, Maslina.

In: Abstract and Applied Analysis, Vol. 2013, 621810, 2013.

Research output: Contribution to journalArticle

@article{10239b37ca814a1a8b6d2be05ad6d894,
title = "On general integral operator of analytic functions",
abstract = "Let Eβ be the integral operator defined by Eβz =β∫0ztβ-1f1′tα1f1t/tγ1P1ζ1tfn′ tαnfnt/tγnPnζntdt1/β, where each of the functions fi and Pi is, respectively, analytic functions and functions with positive real part defined in the open unit disk for all i=1,.,n. The object of this paper is to obtain several univalence conditions for this integral operator. Our main results contain some interesting corollaries as special cases.",
author = "Nasser Alkasbi and Maslina Darus",
year = "2013",
doi = "10.1155/2013/621810",
language = "English",
volume = "2013",
journal = "Abstract and Applied Analysis",
issn = "1085-3375",
publisher = "Hindawi Publishing Corporation",

}

TY - JOUR

T1 - On general integral operator of analytic functions

AU - Alkasbi, Nasser

AU - Darus, Maslina

PY - 2013

Y1 - 2013

N2 - Let Eβ be the integral operator defined by Eβz =β∫0ztβ-1f1′tα1f1t/tγ1P1ζ1tfn′ tαnfnt/tγnPnζntdt1/β, where each of the functions fi and Pi is, respectively, analytic functions and functions with positive real part defined in the open unit disk for all i=1,.,n. The object of this paper is to obtain several univalence conditions for this integral operator. Our main results contain some interesting corollaries as special cases.

AB - Let Eβ be the integral operator defined by Eβz =β∫0ztβ-1f1′tα1f1t/tγ1P1ζ1tfn′ tαnfnt/tγnPnζntdt1/β, where each of the functions fi and Pi is, respectively, analytic functions and functions with positive real part defined in the open unit disk for all i=1,.,n. The object of this paper is to obtain several univalence conditions for this integral operator. Our main results contain some interesting corollaries as special cases.

UR - http://www.scopus.com/inward/record.url?scp=84893775380&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=84893775380&partnerID=8YFLogxK

U2 - 10.1155/2013/621810

DO - 10.1155/2013/621810

M3 - Article

AN - SCOPUS:84893775380

VL - 2013

JO - Abstract and Applied Analysis

JF - Abstract and Applied Analysis

SN - 1085-3375

M1 - 621810

ER -