Convexity and univalency of general integral operator

B. A. Frasin, Maslina Darus, M. Arif

Research output: Contribution to journalArticle

2 Citations (Scopus)

Abstract

In this paper, we obtain the order of convexity of the integral operator I αi, βi γ (f1,..., fn)(z) = { fzo γt γ-1 (f'1(t)) α1 (f1(t)/t)β1...(fn(t)/t)βndt}1/γ of analytic functions when γ = 1. Furthermore, we derive sufficient conditions for this operator when β1 = 1 -α 1;; i = 1,... ,n, to be analytic: and univalent in the open unit disk.

Original languageEnglish
Pages (from-to)465-473
Number of pages9
JournalProceedings of the Jangjeon Mathematical Society
Volume16
Issue number4
Publication statusPublished - 2013

Fingerprint

Integral Operator
Unit Disk
Convexity
Analytic function
Sufficient Conditions
Operator

Keywords

  • Analytic and univalent functions
  • Integral operator
  • Starlike and convex functions

ASJC Scopus subject areas

  • Mathematics(all)

Cite this

Convexity and univalency of general integral operator. / Frasin, B. A.; Darus, Maslina; Arif, M.

In: Proceedings of the Jangjeon Mathematical Society, Vol. 16, No. 4, 2013, p. 465-473.

Research output: Contribution to journalArticle

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