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On General Integral Operator of Analytic Functions

Author

Listed:
  • 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.

Suggested Citation

  • Nasser Alkasbi & Maslina Darus, 2013. "On General Integral Operator of Analytic Functions," Abstract and Applied Analysis, John Wiley & Sons, vol. 2013(1).
    • Handle: RePEc:wly:jnlaaa:v:2013:y:2013:i:1:n:621810
    DOI: 10.1155/2013/621810
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    References listed on IDEAS

    as
    1. B. A. Frasin & M. Darus, 2001. "On certain analytic univalent functions," International Journal of Mathematics and Mathematical Sciences, Hindawi, vol. 25, pages 1-6, January.
    2. B. A. Frasin, 2013. "General Integral Operator of Analytic Functions Involving Functions with Positive Real Part," Journal of Mathematics, Hindawi, vol. 2013, pages 1-4, January.
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