Application of Gegenbauer polynomials for biunivalent functions defined by subordination

被引：3

作者：

Sakar, Fethiye Muge ^{[1
]}

Hussain, Saqib ^{[2
]}

Ahmad, Ibrar ^{[2
]}

机构：

[1] Dicle Univ, Dept Management, Diyarbakir, Turkey

[2] COMSATS Univ Islamabad, Dept Math, Abbottabad Campus, Islamabad, Pakistan

来源：

TURKISH JOURNAL OF MATHEMATICS | 2022年 / 46卷 / 03期

关键词：

Gegenbauer polynomials; coefficient estimates; biunivalent functions and subordination; COEFFICIENT PROBLEM; SUBCLASSES; BOUNDS;

D O I：

10.55730/1300-0098.3144

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We present and investigate a new subclass of biunivalent functions by applying Gegenbouer polynomials in this paper. Also, we find nonsharp estimates on the first two coefficients vertical bar b(0)vertical bar and vertical bar b(1)vertical bar for functions belonging to this subclass. Furthermore, the Fekete-Szego inequality vertical bar b(1) - eta b(0)(2)vertical bar for this subclass is obtained. We also point out some consequences of results.

引用

页码：1089 / 1098

页数：10

共 37 条

[1] A certain subclass of bi-univalent analytic functions introduced by means of the q-analogue of Noor integral operator and Horadam polynomials [J].