Certain subclasses of analytic functions associated with the Chebyshev polynomials. (English) Zbl 1422.30015
Summary: In this paper, we obtain initial coefficient bounds for an unified subclass of analytic functions by using the Chebyshev polynomials. Furthermore, we find the Fekete-Szegő result for this class. All results are sharp. Consequences of the results are also discussed.
MSC:
| 30C45 | Special classes of univalent and multivalent functions of one complex variable (starlike, convex, bounded rotation, etc.) |
| 30C50 | Coefficient problems for univalent and multivalent functions of one complex variable |
References:
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