The Miller-Ross Poisson distribution and its applications to certain classes of bi-univalent functions related to Horadam polynomials

被引：1

作者：

Alnajar, Omar ^{[1
]}

Ogilat, Osama ^{[2
]}

Amourah, Ala ^{[3
]}

Darus, Maslina ^{[1
]}

Alatawi, Maryam Salem ^{[4
]}

机构：

[1] Univ Kebangsaan Malaysia, Fac Sci & Technol, Dept Math Sci, Bangi 43600, Malaysia

[2] Al Ahliyya Amman Univ, Fac Arts & Sci, Dept Basic Sci, Amman 19328, Jordan

[3] Sohar Univ, Fac Educ & Arts, Math Educ Program, Sohar 3111, Oman

[4] Univ Tabuk, Fac Sci, Dept Math, Tabuk 71491, Saudi Arabia

来源：

HELIYON | 2024年 / 10卷 / 07期

关键词：

Poisson distribution series; Horadam polynomials; Bi-univalent functions; Analytic functions; Fekete-Szeg & ouml; problem; SUBCLASSES;

D O I：

10.1016/j.heliyon.2024.e28302

中图分类号：

O [数理科学和化学]; P [天文学、地球科学]; Q [生物科学]; N [自然科学总论];

学科分类号：

07 ; 0710 ; 09 ;

摘要：

Within the scope of this research, we introduce a novel category of bi-univalent functions. Horadam polynomials are utilized to characterize these functions by utilizing series from the Poisson distribution of the Miller -Ross type. Functions from these new categories have been used to construct estimates for the Fekete-Szego functional, as well as estimates of the Taylor -Maclaurin coefficients |1 2 | and |1 3 |. These projections were created for the methods in each of these brandnew subclasses. We made some additional discoveries after, focusing on the traits that contributed to our initial findings.

引用

页数：8

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