Coefficient inequalities for a subclass of Bazilevic functions

被引：2

作者：

Fitri, Sa'adatul ^{[1
]}

Marjono ^{[1
]}

Thomas, Derek K. ^{[2
]}

Wibowo, Ratno Bagus Edy ^{[1
]}

机构：

[1] Brawijaya Univ, Dept Math, Malang, Indonesia

[2] Swansea Univ, Dept Math, Swansea, W Glam, Wales

来源：

DEMONSTRATIO MATHEMATICA | 2020年 / 53卷 / 01期

关键词：

univalent functions; Bazilevi; coefficients; inverse; Fekete-Szego; Hankel determinant; 2ND HANKEL DETERMINANT;

D O I：

10.1515/dema-2020-0040

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Let f be analytic in d = {z: vertical bar z vertical bar < 1} with F(Z) = z + Sigma(n =2) (infinity) a(n)z(n), and for a >= 0 and 0 < lambda <= 1, let B-1(a, lambda) denote the subclass of Bazilevic functions satisfying broken vertical bar f'z(z)/f(z)1-a - < -f z z 1. f z 1 a for 0 <. = 1. We give sharp bounds for various coefficient problems when f is an element of 1(a,.), thus extending recent work in the case lambda = 1.

引用

页码：27 / 37

页数：11

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