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

Ala Amourah, Basem Aref Frasin and Tamer M. Seoudy
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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

Mathematics, 2022, vol. 10, issue 14, 1-10

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.

Keywords: Poisson distribution series; Gegenbauer polynomials; bi-univalent functions; analytic functions; Fekete-Szegö problem (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2022
References: View complete reference list from CitEc
Citations: View citations in EconPapers (1)

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