On the Faber coefficients of functions univalent in an ellipse

被引：3

作者：

Haliloglu, E ^{[1
]}

机构：

[1] IOWA STATE UNIV SCI & TECHNOL,DEPT MATH,AMES,IA 50011

来源：

TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY | 1997年 / 349卷 / 07期

关键词：

Faber polynomials; Faber coefficients; Chebyshev polynomials; Jacobi elliptic sine function;

D O I：

10.1090/S0002-9947-97-01721-2

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Let E be the elliptical domain E={x+iy: x(2)/(5/3)(2)+y(2)/(3/4)(2)<1} Let S(E) denote the class of functions Fit) analytic and univalent in E and satisfying the conditions F(0) = 0 and F'(0) = 1. In this paper, we obtain global sharp bounds for the Faber coefficients of the functions Fit) in certain related classes and subclasses of S(E).

引用

页码：2901 / 2916

页数：16

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