Coefficient Estimate and Fekete-Szegö Problems for Certain New Subclasses of Bi-univalent Functions Defined by Generalized Bivariate Fibonacci Polynomial

被引：0
|
作者：
Ozturk, Rumeysa [1 ]
Aktas, Ibrahim [1 ]
机构：
[1] Karamanoglu Mehmetbey Univ, Kamil Ozdag Sci Fac, Dept Math, Karaman, Turkiye
来源：
SAHAND COMMUNICATIONS IN MATHEMATICAL ANALYSIS | 2024年 / 21卷 / 03期
关键词：
Bi-Univalent function; Coefficient estimates; Fekete-Szeg & ouml; functional; Bivariate Fibonacci polynomials; BIEBERBACH CONJECTURE; PROOF; BOUNDS; SUBORDINATE; STARLIKE; (P;
D O I：
10.22130/scma.2023.1988826.1248
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
This article deals with two new subclasses of analytic and bi-univalent functions in the open unit disk, which is defined by applying subordination principle between analytic functions and the generalized Bivariate Fibonacci polynomials. Bounds for coefficients | a 2 | and | a 3 | of functions in these subclasses are estimated in terms of generalized Bivariate Fibonacci polynomials. In addition, the Fekete-Szeg & ouml; problem is handled for the members of these subclasses and several consequences and examples of the main results are presented. The results of article generalize some of the previously published papers in the literature.
引用
收藏
页码：35 / 53
页数：20
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