Toeplitz Matrices Whose Elements Are the Coefficients of Functions with Bounded Boundary Rotation

被引：23

作者：

Radhika, V. ^{[1
]}

Sivasubramanian, S. ^{[2
]}

Murugusundaramoorthy, G. ^{[3
]}

Jahangiri, Jay M. ^{[4
]}

机构：

[1] Easwari Engn Coll, Dept Math, Madras 600089, Tamil Nadu, India

[2] Anna Univ, Univ Coll Engn Tindivanam, Dept Math, Tindivanam 604001, India

[3] VIT Univ, Sch Adv Sci, Dept Math, Vellore 632014, Tamil Nadu, India

[4] Kent State Univ, Dept Math Sci, Burton, OH 44021 USA

来源：

JOURNAL OF COMPLEX ANALYSIS | 2016年

关键词：

D O I：

10.1155/2016/4960704

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Let R denote the family of functions f(z) = z + Sigma(infinity)(n=2)a(n)z(n) of bounded boundary rotation so that Re(f'(z)) > 0 in the open unit disk U = {z : |z| < 1}. We obtain sharp bounds for Toeplitz determinants whose elements are the coefficients of functions f is an element of R.

引用

页数：4

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