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Fekete-Szegö Functional for Bi-univalent Functions Related with Gegenbauer Polynomials

Author

Listed:
  • Ibrar Ahmad
  • Syed Ghoos Ali Shah
  • Saqib Hussain
  • Maslina Darus
  • Babar Ahmad
  • Firdous A. Shah

Abstract

In this paper, we introduce and investigate a new subclass of bi-univalent functions related with generating function of Gegenbauer polynomials. We will mainly find bounds on Maclaurin series coefficients for functions belonging to this class. We also study the famous Fekete-Szegö type problem for this subclass which is obtained. We will also point out many special cases as corollaries.

Suggested Citation

  • Ibrar Ahmad & Syed Ghoos Ali Shah & Saqib Hussain & Maslina Darus & Babar Ahmad & Firdous A. Shah, 2022. "Fekete-Szegö Functional for Bi-univalent Functions Related with Gegenbauer Polynomials," Journal of Mathematics, Hindawi, vol. 2022, pages 1-8, April.
    • Handle: RePEc:hin:jjmath:2705203
    DOI: 10.1155/2022/2705203
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    Cited by:

    1. Ridong Wang & Manoj Singh & Shahid Khan & Huo Tang & Mohammad Faisal Khan & Mustafa Kamal, 2023. "New Applications of Faber Polynomial Expansion for Analytical Bi-Close-to-Convex Functions Defined by Using q -Calculus," Mathematics, MDPI, vol. 11(5), pages 1-15, March.

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