ON A SUBCLASS OF STARLIKE FUNCTIONS ASSOCIATED WITH GENERALIZED CARDIOID
The purpose of this paper is to investigate a subclass of analytic functions associated with generalized cardioid in the open unit disk. The geometric properties of functions in the subclass are investigated. Subsequently, the bound for initial coefficients, the Fekete-Szegö inequality and second Ha...
| Published in: | International Journal of Applied Mathematics |
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| Format: | Article |
| Language: | English |
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Academic Publications Ltd.
2020
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| Online Access: | https://www.scopus.com/inward/record.uri?eid=2-s2.0-85100524593&doi=10.12732%2fijam.v33i5.3&partnerID=40&md5=fcd2d7525bfb79d8aada2ffcaffba524 |
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2-s2.0-85100524593 |
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2-s2.0-85100524593 Yunus Y.; Akbarally A.B.; Halim S.A. ON A SUBCLASS OF STARLIKE FUNCTIONS ASSOCIATED WITH GENERALIZED CARDIOID 2020 International Journal of Applied Mathematics 33 5 10.12732/ijam.v33i5.3 https://www.scopus.com/inward/record.uri?eid=2-s2.0-85100524593&doi=10.12732%2fijam.v33i5.3&partnerID=40&md5=fcd2d7525bfb79d8aada2ffcaffba524 The purpose of this paper is to investigate a subclass of analytic functions associated with generalized cardioid in the open unit disk. The geometric properties of functions in the subclass are investigated. Subsequently, the bound for initial coefficients, the Fekete-Szegö inequality and second Hankel determinant inequality for functions belonging to this class are obtained. Furthermore, we find the sharp estimate for Toeplitz determinant, T2(2) for this class. © 2020. Academic Publications. All rights reserved. Academic Publications Ltd. 13111728 English Article All Open Access; Gold Open Access |
| author |
Yunus Y.; Akbarally A.B.; Halim S.A. |
| spellingShingle |
Yunus Y.; Akbarally A.B.; Halim S.A. ON A SUBCLASS OF STARLIKE FUNCTIONS ASSOCIATED WITH GENERALIZED CARDIOID |
| author_facet |
Yunus Y.; Akbarally A.B.; Halim S.A. |
| author_sort |
Yunus Y.; Akbarally A.B.; Halim S.A. |
| title |
ON A SUBCLASS OF STARLIKE FUNCTIONS ASSOCIATED WITH GENERALIZED CARDIOID |
| title_short |
ON A SUBCLASS OF STARLIKE FUNCTIONS ASSOCIATED WITH GENERALIZED CARDIOID |
| title_full |
ON A SUBCLASS OF STARLIKE FUNCTIONS ASSOCIATED WITH GENERALIZED CARDIOID |
| title_fullStr |
ON A SUBCLASS OF STARLIKE FUNCTIONS ASSOCIATED WITH GENERALIZED CARDIOID |
| title_full_unstemmed |
ON A SUBCLASS OF STARLIKE FUNCTIONS ASSOCIATED WITH GENERALIZED CARDIOID |
| title_sort |
ON A SUBCLASS OF STARLIKE FUNCTIONS ASSOCIATED WITH GENERALIZED CARDIOID |
| publishDate |
2020 |
| container_title |
International Journal of Applied Mathematics |
| container_volume |
33 |
| container_issue |
5 |
| doi_str_mv |
10.12732/ijam.v33i5.3 |
| url |
https://www.scopus.com/inward/record.uri?eid=2-s2.0-85100524593&doi=10.12732%2fijam.v33i5.3&partnerID=40&md5=fcd2d7525bfb79d8aada2ffcaffba524 |
| description |
The purpose of this paper is to investigate a subclass of analytic functions associated with generalized cardioid in the open unit disk. The geometric properties of functions in the subclass are investigated. Subsequently, the bound for initial coefficients, the Fekete-Szegö inequality and second Hankel determinant inequality for functions belonging to this class are obtained. Furthermore, we find the sharp estimate for Toeplitz determinant, T2(2) for this class. © 2020. Academic Publications. All rights reserved. |
| publisher |
Academic Publications Ltd. |
| issn |
13111728 |
| language |
English |
| format |
Article |
| accesstype |
All Open Access; Gold Open Access |
| record_format |
scopus |
| collection |
Scopus |
| _version_ |
1809677899430625280 |