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Simple Sufficient Subordination Conditions for Close-to-Convexity

Author

Listed:
  • Ebrahim Analouei Adegani

    (Faculty of Mathematical Sciences, Shahrood University of Technology, P.O. Box 316-36155 Shahrood, Iran)

  • Teodor Bulboacă

    (Faculty of Mathematics and Computer Science, Babeş-Bolyai University, 400084 Cluj-Napoca, Romania)

  • Ahmad Motamednezhad

    (Faculty of Mathematical Sciences, Shahrood University of Technology, P.O. Box 316-36155 Shahrood, Iran)

Abstract

Using several applications of the theory of differential subordination we obtain sufficient conditions for usually normalized analytic functions to belong to certain subclasses of close-to-convex functions and close-to-convex functions of order α .

Suggested Citation

  • Ebrahim Analouei Adegani & Teodor Bulboacă & Ahmad Motamednezhad, 2019. "Simple Sufficient Subordination Conditions for Close-to-Convexity," Mathematics, MDPI, vol. 7(3), pages 1-9, March.
    • Handle: RePEc:gam:jmathe:v:7:y:2019:i:3:p:241-:d:211958
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    Cited by:

    1. Ali Ebadian & Nak Eun Cho & Ebrahim Analouei Adegani & Sibel Yalçın, 2020. "New Criteria for Meromorphic Starlikeness and Close-to-Convexity," Mathematics, MDPI, vol. 8(5), pages 1-13, May.

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