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On General Integral Operator of Analytic Functions

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  • Nasser Alkasbi
  • Maslina Darus

Abstract

Let Eβ be the integral operator defined by Eβz =β∫0ztβ-1f1′tα1f1t/tγ1P1ζ1t⋯fn′tαnfnt/tγnPnζntdt1/β, where each of the functions fi and Pi is, 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.

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Handle: RePEc:wly:jnlaaa:v:2013:y:2013:i:1:n:621810
DOI: 10.1155/2013/621810
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