A comprehensive family of bi-univalent functions defined by (m, n)-Lucas polynomials

被引：1
|
作者：
Swamy, S. R. [1 ]
Wanas, Abbas Kareem [2 ]
机构：
[1] RV Coll Engn, Dept Comp Sci & Engn, Bengaluru 560059, Karnataka, India
[2] Univ Al Qadisiyah, Coll Sci, Dept Math, Diwaniyah, Iraq
来源：
BOLETIN DE LA SOCIEDAD MATEMATICA MEXICANA | 2022年 / 28卷 / 02期
关键词：
Fekete-Szego functional; Regular function; Bi-univalent function; (m; n)-Lucas polynomial; SUBCLASSES; FIBONACCI; (P;
D O I：
10.1007/s40590-022-00411-0
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
Making use of (m, n)-Lucas polynomials, we propose a comprehensive family of regular functions of the type g(z) = z + Sigma(infinity)(j=2) d(j)z(j) which are bi-univalent in the disc {z is an element of C : vertical bar z vertical bar<1}. We find estimates on the coefficients vertical bar d(2)vertical bar, vertical bar d(3)vertical bar and the of Fekete-Szego functional for members of this subfamily. Relevant connections to existing results and new consequences of the main result are also presented.
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页数：10
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