General Integral Operator of Analytic Functions Involving Functions with Positive Real Part. (8th January 2013)

• Record Type: Journal Article
• Authors: Frasin, B. A.
• Other Names: Ali S. T. Academic Editor.
• Is Part Of: Journal of mathematics. Volume 2013(2013)
• Publication Date: 2013-01-08
• Subjects: Mathematics -- Periodicals; Mathematics; Periodicals; 510
• DOI: 10.1155/2013/260127
• Languages: English
• ISSNs: 2314-4629

Abstract

Abstract : Let B β be the integral operator defined by B β ( z ) = [ β ∫ 0 z t β - 1 ∏ i = 1 n [ ( ( f i ( t ) ) / t ) γ i p i ζ i ( t ) ] d t ] 1 / β where each of the functions f i and p i 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.