# 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 language English 465-473 9 Proceedings of the Jangjeon Mathematical Society 16 4 Published - 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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