On the Chebyshev Polynomial for a Certain Class of Analytic Univalent Functions
In this work, by considering the Chebyshev polynomial of the first and second kind, a new subclass of univalent functions is defined. We obtain the coefficient estimate, extreme points, and convolution preserving property. Also, we discuss the radii of starlikeness, convexity, and close-to-convexity...
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| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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Wiley
2021-01-01
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| Series: | Journal of Function Spaces |
| Online Access: | http://dx.doi.org/10.1155/2021/3716428 |
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| _version_ | 1850166562509553664 |
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| author | Shahram Najafzadeh Mugur Acu |
| author_facet | Shahram Najafzadeh Mugur Acu |
| author_sort | Shahram Najafzadeh |
| collection | DOAJ |
| description | In this work, by considering the Chebyshev polynomial of the first and second kind, a new subclass of univalent functions is defined. We obtain the coefficient estimate, extreme points, and convolution preserving property. Also, we discuss the radii of starlikeness, convexity, and close-to-convexity. |
| format | Article |
| id | doaj-art-e39693c2ee4a489887085dcc720445fe |
| institution | OA Journals |
| issn | 2314-8888 |
| language | English |
| publishDate | 2021-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Function Spaces |
| spelling | doaj-art-e39693c2ee4a489887085dcc720445fe2025-08-20T02:21:24ZengWileyJournal of Function Spaces2314-88882021-01-01202110.1155/2021/3716428On the Chebyshev Polynomial for a Certain Class of Analytic Univalent FunctionsShahram Najafzadeh0Mugur Acu1Department of MathematicsDepartment of Mathematics and InformaticsIn this work, by considering the Chebyshev polynomial of the first and second kind, a new subclass of univalent functions is defined. We obtain the coefficient estimate, extreme points, and convolution preserving property. Also, we discuss the radii of starlikeness, convexity, and close-to-convexity.http://dx.doi.org/10.1155/2021/3716428 |
| spellingShingle | Shahram Najafzadeh Mugur Acu On the Chebyshev Polynomial for a Certain Class of Analytic Univalent Functions Journal of Function Spaces |
| title | On the Chebyshev Polynomial for a Certain Class of Analytic Univalent Functions |
| title_full | On the Chebyshev Polynomial for a Certain Class of Analytic Univalent Functions |
| title_fullStr | On the Chebyshev Polynomial for a Certain Class of Analytic Univalent Functions |
| title_full_unstemmed | On the Chebyshev Polynomial for a Certain Class of Analytic Univalent Functions |
| title_short | On the Chebyshev Polynomial for a Certain Class of Analytic Univalent Functions |
| title_sort | on the chebyshev polynomial for a certain class of analytic univalent functions |
| url | http://dx.doi.org/10.1155/2021/3716428 |
| work_keys_str_mv | AT shahramnajafzadeh onthechebyshevpolynomialforacertainclassofanalyticunivalentfunctions AT muguracu onthechebyshevpolynomialforacertainclassofanalyticunivalentfunctions |