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.
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页数：8
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