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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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
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spelling doaj-20f7ddf757d446f3888ba58f30f4feef2021-09-06T19:20:10ZengDe GruyterOpen Mathematics2391-54552018-10-011611161116910.1515/math-2018-0093math-2018-0093Toeplitz matrices whose elements are coefficients of Bazilevič functionsRadhika Varadharajan0Jahangiri Jay M.1Sivasubramanian Srikandan2Murugusundaramoorthy Gangadharan3Department of Mathematics, Easwari Engineering College, Ramapuram, Chennai600089, IndiaDepartment of Mathematical Sciences, Kent State University, Burton, OH44021-9500, USADepartment of Mathematics, University College of Engineering Tindivanam, Anna University, Tindivanam604001, Tamil Nadu, IndiaSchool of Advanced Sciences, VIT University, Vellore Campus, Vellore632 014, Tamil Nadu, IndiaWe 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.https://doi.org/10.1515/math-2018-0093toeplitz determinantsanalyticunivalent and bazilevič functions30c4533c5030c80
collection DOAJ
language English
format Article
sources DOAJ
author Radhika Varadharajan
Jahangiri Jay M.
Sivasubramanian Srikandan
Murugusundaramoorthy Gangadharan
spellingShingle Radhika Varadharajan
Jahangiri Jay M.
Sivasubramanian Srikandan
Murugusundaramoorthy Gangadharan
Toeplitz matrices whose elements are coefficients of Bazilevič functions
Open Mathematics
toeplitz determinants
analytic
univalent and bazilevič functions
30c45
33c50
30c80
author_facet Radhika Varadharajan
Jahangiri Jay M.
Sivasubramanian Srikandan
Murugusundaramoorthy Gangadharan
author_sort Radhika Varadharajan
title Toeplitz matrices whose elements are coefficients of Bazilevič functions
title_short Toeplitz matrices whose elements are coefficients of Bazilevič functions
title_full Toeplitz matrices whose elements are coefficients of Bazilevič functions
title_fullStr Toeplitz matrices whose elements are coefficients of Bazilevič functions
title_full_unstemmed Toeplitz matrices whose elements are coefficients of Bazilevič functions
title_sort toeplitz matrices whose elements are coefficients of bazilevič functions
publisher De Gruyter
series Open Mathematics
issn 2391-5455
publishDate 2018-10-01
description 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.
topic toeplitz determinants
analytic
univalent and bazilevič functions
30c45
33c50
30c80
url https://doi.org/10.1515/math-2018-0093
work_keys_str_mv AT radhikavaradharajan toeplitzmatriceswhoseelementsarecoefficientsofbazilevicfunctions
AT jahangirijaym toeplitzmatriceswhoseelementsarecoefficientsofbazilevicfunctions
AT sivasubramaniansrikandan toeplitzmatriceswhoseelementsarecoefficientsofbazilevicfunctions
AT murugusundaramoorthygangadharan toeplitzmatriceswhoseelementsarecoefficientsofbazilevicfunctions
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