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A Marx-Strohhacker Type Result for Close-to-Convex Functions

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Complex Analysis and Dynamical Systems

Part of the book series: Trends in Mathematics ((TM))

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Abstract

Let f(z) be a close-to-convex function in the open unit disk \(\mathbb D.\) In this paper we use a result of Nunokawa et al. to obtain sufficient conditions which ensures Re[ f(z)/z] > 0 for all \(z\in \mathbb D.\) This result addresses a problem from complex dynamical systems.

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Author information

Authors and Affiliations

  1. Faculty of Mechanical Engineering, Ss. Cyril and Methodius University in Skopje, Karpoš II b.b., 1000, Skopje, Republic of Macedonia

    Nikola Tuneski

  2. University of Gunma, Hoshikuki-cho 798-8, Chuou-Ward, Chiba, 260-0808, Japan

    Mamoru Nunokawa

  3. Faculty of Electrical Engineering and Informational Technologies, Ss. Cyril and Methodius University in Skopje, Karpoš II b.b., 1000, Skopje, Republic of Macedonia

    Biljana Jolevska-Tuneska

Authors
  1. Nikola Tuneski
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  2. Mamoru Nunokawa
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  3. Biljana Jolevska-Tuneska
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Corresponding author

Correspondence to Nikola Tuneski .

Editor information

Editors and Affiliations

  1. Department of Mathematics, Bar-Ilan University, Ramat-Gan, Israel

    Mark Agranovsky

  2. Department of Mathematics, Holon Institute of Technology, Holon, Israel

    Anatoly Golberg

  3. Department of Mathematics, ORT Braude College, Karmiel, Israel

    Fiana Jacobzon

  4. Department of Mathematics, Holon Institute of Technology, Holon, Israel

    David Shoikhet

  5. Department of Mathematics, Bar-Ilan University, Ramat-Gan, Israel

    Lawrence Zalcman

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Tuneski, N., Nunokawa, M., Jolevska-Tuneska, B. (2018). A Marx-Strohhacker Type Result for Close-to-Convex Functions. In: Agranovsky, M., Golberg, A., Jacobzon, F., Shoikhet, D., Zalcman, L. (eds) Complex Analysis and Dynamical Systems. Trends in Mathematics. Birkhäuser, Cham. https://doi.org/10.1007/978-3-319-70154-7_16

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