Toeplitz matrices whose elements are coefficients of Bazilevič functions

Toeplitz matrices whose elements are coefficients of Bazilevič functions

We 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 an...

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Bibliographic Details
Main Authors: Radhika Varadharajan, Jahangiri Jay M., Sivasubramanian Srikandan, Murugusundaramoorthy Gangadharan
Format: Article
Language:English
Published: De Gruyter 2018-10-01
Series:Open Mathematics
Subjects:
toeplitz determinants
analytic
univalent and bazilevič functions
30c45
33c50
30c80
Online Access:https://doi.org/10.1515/math-2018-0093
Description
Summary:We 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.
ISSN:2391-5455

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