Toeplitz matrices whose elements are coefficients of Bazilevič functions-Reference-Cited by-同舟云学术

Toeplitz matrices whose elements are coefficients of Bazilevič functions

Published:2018-10-29 Issue:1 Volume:16 Page:1161-1169
ISSN:2391-5455
Container-title:Open Mathematics
language:
Short-container-title:

Author:

Radhika Varadharajan¹,Jahangiri Jay M.²,Sivasubramanian Srikandan³,Murugusundaramoorthy Gangadharan⁴

Affiliation:

1. Department of Mathematics, Easwari Engineering College, Ramapuram, Chennai600089, India

2. Department of Mathematical Sciences, Kent State University, Burton, OH44021-9500, USA

3. Department of Mathematics, University College of Engineering Tindivanam, Anna University, Tindivanam604001, Tamil Nadu, India

4. School of Advanced Sciences, VIT University, Vellore Campus, Vellore632 014, Tamil Nadu, India

Abstract

AbstractWe consider the Toeplitz matrices whose elements are the coefficients of Bazilevič functions and obtain upper bounds for the first four determinants of these Toeplitz matrices. The results presented here are new and noble and the only prior compatible results are the recent publications by Thomas and Halim [1] for the classes of starlike and close-to-convex functions and Radhika et al. [2] for the class of functions with bounded boundary rotation.

Publisher

Walter de Gruyter GmbH

Subject

General Mathematics

Link

https://www.degruyter.com/downloadpdf/journals/math/16/1/article-p1161.xml

Reference10 articles.

Cited by 11 articles. 订阅此论文施引文献订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献

1. Toeplitz Matrices for a Class of Bazilevič Functions and the λ-Pseudo-Starlike Functions;Axioms;2024-08-02

2. TOEPLITZ DETERMINANTS FOR λ- PSEUDO-STARLIKE FUNCTIONS;COMMUN KOREAN MATH S;2024

3. Toeplitz Determinant for the Inverse of a Function Whose Derivative Has a Positive Real Part;Applied Mathematics and Nonlinear Sciences;2024-01-01

4. Bounds for Toeplitz Determinants and Related Inequalities for a New Subclass of Analytic Functions;Mathematics;2023-09-18

5. Toeplitz Determinants for a Certain Family of Analytic Functions Endowed with Borel Distribution;Symmetry;2023-01-17