Order of univalency of general integral operator

Nasser Alkasbi, Maslina Darus

Research output: Contribution to journalArticle

Abstract

Let Eβ be the integral operator defined by (Formula presented) where each of the functions fi, and Pi are, 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
Pages (from-to)185-195
Number of pages11
JournalFar East Journal of Mathematical Sciences
Volume93
Issue number2
Publication statusPublished - 1 Oct 2014

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Integral Operator
Pi
Unit Disk
Analytic function
Corollary
Object

Keywords

  • Analytic functions
  • Integral operator
  • Schwarz lemma
  • Univalent functions

ASJC Scopus subject areas

  • Mathematics(all)

Cite this

Order of univalency of general integral operator. / Alkasbi, Nasser; Darus, Maslina.

In: Far East Journal of Mathematical Sciences, Vol. 93, No. 2, 01.10.2014, p. 185-195.

Research output: Contribution to journalArticle

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