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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| Main Author: | |
| Format: | Article |
| Language: | English |
| Published: |
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 |
| Summary: | 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. |
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| ISSN: | 13111728 |
| DOI: | 10.12732/ijam.v33i5.3 |