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Coefficient Bounds of Bi-univalent Functions Using Faber Polynomial

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Advances in Algebra and Analysis

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

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Abstract

In this research article, we study a bi-univalent subclass Σ related with Faber polynomial and investigate the coefficient estimate |a n| for functions in the considered subclass with a gap series condition. Also, we obtain the initial two coefficient estimates |a 2|, |a 3| and find the Fekete–Szegö functional \(|a_3-a_2^2|\) for the considered subclass. New results which are further examined are also pointed out in this article.

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Author information

Authors and Affiliations

  1. School of Computer Science and Engineering, Vellore Institute of Technology, Vellore, India

    T. Janani

  2. Department of Mathematics, Faculty of Arts and Science, Uludag University, Bursa, Turkey

    S. Yalcin

Authors
  1. T. Janani
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  2. S. Yalcin
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Corresponding author

Correspondence to T. Janani .

Editor information

Editors and Affiliations

  1. Department of Mathematics, School of Advanced Sciences, Vellore Institute of Technology, Vellore, Tamil Nadu, India

    V. Madhu

  2. Department of Mathematics, School of Advanced Sciences, Vellore Institute of Technology, Vellore, Tamil Nadu, India

    A. Manimaran

  3. Department of Mathematics, School of Advanced Sciences, Vellore Institute of Technology, Vellore, Tamil Nadu, India

    D. Easwaramoorthy

  4. Department of Mathematics, School of Advanced Sciences, Vellore Institute of Technology, Vellore, Tamil Nadu, India

    D. Kalpanapriya

  5. Department of Mathematics, School of Advanced Sciences, Vellore Institute of Technology, Vellore, Tamil Nadu, India

    M. Mubashir Unnissa

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Janani, T., Yalcin, S. (2018). Coefficient Bounds of Bi-univalent Functions Using Faber Polynomial. In: Madhu, V., Manimaran, A., Easwaramoorthy, D., Kalpanapriya, D., Mubashir Unnissa, M. (eds) Advances in Algebra and Analysis. Trends in Mathematics. Birkhäuser, Cham. https://doi.org/10.1007/978-3-030-01120-8_18

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