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...
| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
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De Gruyter
2018-10-01
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| Series: | Open Mathematics |
| Subjects: | |
| Online Access: | https://doi.org/10.1515/math-2018-0093 |
| _version_ | 1819290957422526464 |
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| author | Radhika Varadharajan Jahangiri Jay M. Sivasubramanian Srikandan Murugusundaramoorthy Gangadharan |
| author_facet | Radhika Varadharajan Jahangiri Jay M. Sivasubramanian Srikandan Murugusundaramoorthy Gangadharan |
| author_sort | Radhika Varadharajan |
| collection | DOAJ |
| 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. |
| first_indexed | 2024-12-24T03:31:00Z |
| format | Article |
| id | doaj.art-20f7ddf757d446f3888ba58f30f4feef |
| institution | Directory Open Access Journal |
| issn | 2391-5455 |
| language | English |
| last_indexed | 2024-12-24T03:31:00Z |
| publishDate | 2018-10-01 |
| publisher | De Gruyter |
| record_format | Article |
| series | Open Mathematics |
| spelling | doaj.art-20f7ddf757d446f3888ba58f30f4feef2022-12-21T17:17:11ZengDe 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 |
| 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 |
| title | 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_short | Toeplitz matrices whose elements are coefficients of Bazilevič functions |
| title_sort | toeplitz matrices whose elements are coefficients of bazilevic functions |
| topic | toeplitz determinants analytic univalent and bazilevič functions 30c45 33c50 30c80 |
| url | https://doi.org/10.1515/math-2018-0093 |
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