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Estimates of Initial Coefficients for Bi-Univalent Functions

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  • Paweł Zaprawa

Abstract

We consider the Fekete-Szegö inequalities for classes which were defined by Murugusundaramoorthy et al. (2013). These inequalities will result in bounds of the third coefficient which are better than these obtained by Murugusundaramoorthy et al. (2013). Moreover, we discuss two other classes of bi-univalent functions. The estimates of initial coefficients in these classes are obtained.

Suggested Citation

  • Paweł Zaprawa, 2014. "Estimates of Initial Coefficients for Bi-Univalent Functions," Abstract and Applied Analysis, Hindawi, vol. 2014, pages 1-6, May.
    • Handle: RePEc:hin:jnlaaa:357480
    DOI: 10.1155/2014/357480
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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. Rayaprolu Bharavi Sharma & Kalikota Rajya Laxmi, 2016. "Coefficient Inequalities of Second Hankel Determinants for Some Classes of Bi-Univalent Functions," Mathematics, MDPI, vol. 4(1), pages 1-11, February.
    3. Nizami Mustafa, 2019. "On The Upper Bound Estimates for the Coefficients of Certain Class Bi-Univalent Functions of Complex Order," Academic Journal of Applied Mathematical Sciences, Academic Research Publishing Group, vol. 5(7), pages 101-113, 07-2019.

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