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Consolidation of a Certain Discrete Probability Distribution with a Subclass of Bi-Univalent Functions Involving Gegenbauer Polynomials

Author

Listed:
  • Ala Amourah
  • Mohammad Alomari
  • Feras Yousef
  • Abdullah Alsoboh
  • Ismail Shah

Abstract

In this work, we introduce and investigate a new subclass of analytic bi-univalent functions based on subordination conditions between the zero-truncated Poisson distribution and Gegenbauer polynomials. More precisely, we will estimate the first two initial Taylor–Maclaurin coefficients and solve the Fekete–Szegö functional problem for functions belonging to this new subclass.

Suggested Citation

  • Ala Amourah & Mohammad Alomari & Feras Yousef & Abdullah Alsoboh & Ismail Shah, 2022. "Consolidation of a Certain Discrete Probability Distribution with a Subclass of Bi-Univalent Functions Involving Gegenbauer Polynomials," Mathematical Problems in Engineering, Hindawi, vol. 2022, pages 1-6, May.
    • Handle: RePEc:hin:jnlmpe:6354994
    DOI: 10.1155/2022/6354994
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    Cited by:

    1. Ala Amourah & Omar Alnajar & Maslina Darus & Ala Shdouh & Osama Ogilat, 2023. "Estimates for the Coefficients of Subclasses Defined by the Bell Distribution of Bi-Univalent Functions Subordinate to Gegenbauer Polynomials," Mathematics, MDPI, vol. 11(8), pages 1-9, April.

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