FURTHER RESULTS ON A CLASS OF STARLIKE FUNCTIONS RELATED TO THE BERNOULLI LEMNISCATE

被引：0

作者：

Sokol, Janusz ^{[1
]}

Thomas, Derek K. ^{[2
]}

机构：

[1] Univ Rzeszow, Fac Math & Nat Sci, Ul Prof Pigonia 1, PL-35310 Rzeszow, Poland

[2] Swansea Univ, Dept Math, Singleton Pk, Swansea SA2 8PP, W Glam, Wales

来源：

HOUSTON JOURNAL OF MATHEMATICS | 2018年 / 44卷 / 01期

关键词：

Analytic functions; Starlike functions; Differential subordination; Coefficient estimates; 2ND HANKEL DETERMINANT; COEFFICIENT; INVERSE;

D O I：

暂无

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

The purpose of this paper is to provide further results for the class of starlike functions S-L* consisting of analytic functions f normalized by f(0) = f' (0) - 1 = 0 in the open unit disk D satisfying the subordination condition zf' (z) / f(z) (sic) root 1+z for z is an element of D. Various new results for the coefficients of f(z) are obtained, together with sharp inequalities for the Fekete-Szego functional, the Hankel determinant, the coefficients of the inverse function, and the coefficients of log(f(z)/z).

引用

页码：83 / 95

页数：13

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