Certain Subclasses of Analytic and Bi-Univalent Functions Governed by the Gegenbauer Polynomials Linked with q-Derivative

被引：4
作者：
Kazimoglu, Sercan [1 ]
Deniz, Erhan [1 ]
Cotirla, Luminita-Ioana [2 ]
机构：
[1] Kafkas Univ, Dept Math, TR-36100 Kars, Turkiye
[2] Tech Univ Cluj Napoca, Dept Math, Cluj Napoca 400020, Romania
来源：
SYMMETRY-BASEL | 2023年 / 15卷 / 06期
关键词：
analytic functions; q-derivative operator; bi-univalent functions; subordination; Fekete-Szego inequality; Gegenbauer polynomials; Q-STARLIKE FUNCTIONS; FEKETE-SZEGO PROBLEM; HANKEL DETERMINANT; NEURAL-NETWORK; SUBORDINATE; BIFURCATIONS;
D O I：
10.3390/sym15061192
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 this paper, we introduce and investigate two new subclasses of analytic and bi-univalent functions using the q-derivative operator D-q (0 < q < 1) and the Gegenbauer polynomials in a symmetric domain, which is the open unit disc Lambda= rho : rho epsilon C and |(sic)| < 1}. For these subclasses of analytic and bi-univalent functions, the coefficient estimates and Fekete-Szeg & ouml; inequalities are solved. Some special cases of the main results are also linked to those in several previous studies. The symmetric nature of quantum calculus itself motivates our investigation of the applications of such quantum (or q-) extensions in this paper.
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页数：15
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