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Coefficient Bounds for a Certain Family of Biunivalent Functions Defined by Gegenbauer Polynomials

Author

Listed:
  • Isra Al-Shbeil
  • Abbas Kareem Wanas
  • Abdelkader Benali
  • Adriana CătaÅŸ
  • Barbara Martinucci

Abstract

In the present work, by making use of Gegenbauer polynomials, we introduce and study a certain family of λ-pseudo bistarlike and λ-pseudo biconvex functions with respect to symmetrical points defined in the open unit disk. We obtain estimates for initial coefficients and solve the Fekete–Szego¨ problem for functions that belong to this family. Furthermore, we give connections to some of the earlier known results.

Suggested Citation

  • Isra Al-Shbeil & Abbas Kareem Wanas & Abdelkader Benali & Adriana CătaÅŸ & Barbara Martinucci, 2022. "Coefficient Bounds for a Certain Family of Biunivalent Functions Defined by Gegenbauer Polynomials," Journal of Mathematics, Hindawi, vol. 2022, pages 1-7, November.
    • Handle: RePEc:hin:jjmath:6946424
    DOI: 10.1155/2022/6946424
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