Univalence preserving integral operator defined by generalized hypergeometric functions

Ibtisam Aldawish, Maslina Darus

Research output: Contribution to journalArticle

Abstract

Let Iμ(f1, f2, ...fl, g1, g2, ...gl)(z) be the integral operator defined by generalized hypergeometric functions where each of the functions fm and gm are, respectively, analytic functions in the open unit disk for all m = 1, ..., l. 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)539-549
Number of pages11
JournalNonlinear Functional Analysis and Applications
Volume23
Issue number3
Publication statusPublished - 1 Sep 2018

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Generalized Hypergeometric Function
Integral Operator
Mathematical operators
Unit Disk
Analytic function
Corollary
Object

Keywords

  • Analytic functions
  • General Schwarz Lemma
  • Integral operator
  • Q-hypergeometric function

ASJC Scopus subject areas

  • Analysis
  • Numerical Analysis
  • Control and Optimization
  • Applied Mathematics

Cite this

Univalence preserving integral operator defined by generalized hypergeometric functions. / Aldawish, Ibtisam; Darus, Maslina.

In: Nonlinear Functional Analysis and Applications, Vol. 23, No. 3, 01.09.2018, p. 539-549.

Research output: Contribution to journalArticle

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