Toeplitz Matrices Whose Elements Are the Coefficients of Functions with Bounded Boundary Rotation-Reference-Cited by-同舟云学术

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

Published:2016-09-06 Issue: Volume:2016 Page:1-4
ISSN:2314-4963
Container-title:Journal of Complex Analysis
language:en
Short-container-title:Journal of Complex Analysis

Author:

Radhika V.¹,Sivasubramanian S.²,Murugusundaramoorthy G.³^ORCID,Jahangiri Jay M.⁴^ORCID

Affiliation:

1. Department of Mathematics, Easwari Engineering College, Ramapuram, Chennai 600089, India

2. Department of Mathematics, University College of Engineering Tindivanam, Anna University, Tindivanam 604001, India

3. Department of Mathematics, School of Advanced Sciences, VIT University, Vellore 632 014, India

4. Department of Mathematical Sciences, Kent State University, Burton, OH 44021-9500, USA

Abstract

Let R denote the family of functions f(z)=z+∑n=2∞anzn of bounded boundary rotation so that Ref′(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∈R.

Funder

Department of Science and Technology, Government of India

Publisher

Hindawi Limited

Subject

Analysis

Link

http://downloads.hindawi.com/archive/2016/4960704.pdf

Reference6 articles.

1. A variational method for functions of bounded boundary rotation

2. Grundlehren der Mathematischen Wissenschaften,1983

3. Every Matrix is a Product of Toeplitz Matrices

4. RETRACTED ARTICLE: Toeplitz Matrices Whose Elements are the Coefficients of Starlike and Close-to-Convex Functions

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