Investigating New Subclasses of Bi-Univalent Functions Associated with q-Pascal Distribution Series Using the Subordination Principle

被引：15

作者：

Alsoboh, Abdullah ^{[1
]}

Amourah, Ala ^{[2
]}

Darus, Maslina ^{[3
]}

Rudder, Carla Amoi ^{[4
]}

机构：

[1] Umm Al Qura Univ, Al Leith Univ Coll, Dept Math, Mecca 24382, Saudi Arabia

[2] Irbid Natl Univ, Fac Sci & Technol, Dept Math, Irbid 21110, Jordan

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

[4] Rabdan Acad, Fac Resilience, Abu Dhabi, U Arab Emirates

来源：

SYMMETRY-BASEL | 2023年 / 15卷 / 05期

关键词：

q-Pascal distribution series; Fekete-Szego problem; q-calculus; bi-univalent functions; q-Gegenbauer polynomials; FEKETE-SZEGO PROBLEM; COEFFICIENT; POLYNOMIALS;

D O I：

10.3390/sym15051109

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：

In the real world, there are many applications that find the Pascal distribution to be a useful and relevant model. One of these is the normal distribution. In this work, we develop a new subclass of analytic bi-univalent functions by making use of the q-Pascal distribution series as a construction. These functions involve the q-Gegenbauer polynomials, and we use them to establish our new subclass. Moreover, we solve the Fekete-Szego functional problem and analyze various different estimates of the Maclaurin coefficients for functions that belong to the new subclass.

引用

页数：14

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