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.

Sivasubramanian A

Electronics

School of Electronics Engineering

Chennai Campus

Murugusundaramoorthy G

Department of Mathematics

School of Advanced Sciences

Vellore Campus

Jahangiri J.M

Fulltext

Vellore Institute of Technology (VIT) is a private university located in&nbsp;Tamil Nadu, India. Founded in 1984, as Vellore Engineering College, the institution offers 20 undergraduate, 34 postgraduate, four integrated and four research programs. It has campuses in Vellore, Amravati, Bhopal and Chennai.

VIT is one of the top ranked private universities in India according to NIRF, THE and QS Rankings.&nbsp;Govt. of India has recognized&nbsp;VIT, Vellore as an&nbsp;Institution of Eminence. This has allowed VIT to take independent quality initiatives and move up in world ranking.

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VIT University

Open Mathematics

Bulletin of the Malaysian Mathematical Sciences Society

RETRACTED ARTICLE: Toeplitz Matrices Whose Elements are the Coefficients of Starlike and Close-to-Convex Functions

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.

Journal of Complex Analysis

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

Journal	Data powered by TypesetOpen Mathematics
Publisher	Data powered by TypesetWalter de Gruyter GmbH
ISSN	23915455
Open Access	No