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Coefficient Bounds for Certain Subclasses of Bi-Univalent Function

Author

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  • G. Murugusundaramoorthy
  • N. Magesh
  • V. Prameela

Abstract

We introduce two new subclasses of the function class Σ of bi-univalent functions defined in the open unit disc. Furthermore, we find estimates on the coefficients and for functions in these new subclasses. Also consequences of the results are pointed out.

Suggested Citation

  • G. Murugusundaramoorthy & N. Magesh & V. Prameela, 2013. "Coefficient Bounds for Certain Subclasses of Bi-Univalent Function," Abstract and Applied Analysis, Hindawi, vol. 2013, pages 1-3, June.
    • Handle: RePEc:hin:jnlaaa:573017
    DOI: 10.1155/2013/573017
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    Cited by:

    1. Gangadharan Murugusundaramoorthy & Kaliappan Vijaya & Teodor Bulboacă, 2023. "Initial Coefficient Bounds for Bi-Univalent Functions Related to Gregory Coefficients," Mathematics, MDPI, vol. 11(13), pages 1-16, June.
    2. Lin-Lin Fan & Zhi-Gang Wang & Shahid Khan & Saqib Hussain & Muhammad Naeem & Tahir Mahmood, 2019. "Coefficient Bounds for Certain Subclasses of q -Starlike Functions," Mathematics, MDPI, vol. 7(10), pages 1-11, October.
    3. Abdullah Alsoboh & Ala Amourah & Maslina Darus & Rami Issa Al Sharefeen, 2023. "Applications of Neutrosophic q -Poisson distribution Series for Subclass of Analytic Functions and Bi-Univalent Functions," Mathematics, MDPI, vol. 11(4), pages 1-10, February.
    4. Şahsene Altınkaya & Sibel Yalçın, 2015. "Coefficient Bounds for Certain Subclasses of -Fold Symmetric Biunivalent Functions," Journal of Mathematics, Hindawi, vol. 2015, pages 1-5, November.
    5. Abdulmtalb Hussen & Abdelbaset Zeyani, 2023. "Coefficients and Fekete–Szegö Functional Estimations of Bi-Univalent Subclasses Based on Gegenbauer Polynomials," Mathematics, MDPI, vol. 11(13), pages 1-10, June.
    6. Ibtisam Aldawish & Tariq Al-Hawary & B. A. Frasin, 2020. "Subclasses of Bi-Univalent Functions Defined by Frasin Differential Operator," Mathematics, MDPI, vol. 8(5), pages 1-11, May.

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