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An Application of Miller–Ross-Type Poisson Distribution on Certain Subclasses of Bi-Univalent Functions Subordinate to Gegenbauer Polynomials

Author

Listed:
  • Ala Amourah

    (Department of Mathematics, Faculty of Science and Technology, Irbid National University, Irbid 21110, Jordan)

  • Basem Aref Frasin

    (Faculty of Science, Department of Mathematics, Al al-Bayt University, Mafraq 25113, Jordan)

  • Tamer M. Seoudy

    (Department of Mathematics, Jamoum University College, Umm Al-Qura University, Makkah 21955, Saudi Arabia
    Department of Mathematics, Faculty of Science, Fayoum University, Fayoum 63514, Egypt)

Abstract

The Miller–Ross-type Poisson distribution is an important model for plenty of real-world applications. In the present analysis, we study and introduce a new class of bi-univalent functions defined by means of Gegenbauer polynomials with a Miller–Ross-type Poisson distribution series. For functions in each of these bi-univalent function classes, we have derived and explored estimates of the Taylor coefficients a 2 and a 3 and Fekete-Szegö functional problems for functions belonging to these new subclasses.

Suggested Citation

  • Ala Amourah & Basem Aref Frasin & Tamer M. Seoudy, 2022. "An Application of Miller–Ross-Type Poisson Distribution on Certain Subclasses of Bi-Univalent Functions Subordinate to Gegenbauer Polynomials," Mathematics, MDPI, vol. 10(14), pages 1-10, July.
    • Handle: RePEc:gam:jmathe:v:10:y:2022:i:14:p:2462-:d:863212
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    Cited by:

    1. 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.

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