| Certain classes of univalent functions with negative coefficients and $n$-starlike with respect to certain points |
| M. K. Aouf, R. M. El-Ashwah and S. M. El-Deeb |
Abstract In this paper we introduce three subclasses of $T$, $S_{s,n}^{\star}T(\alpha,\beta)$, $S_{c,n}^{\star}T(\alpha,\beta)$ and $S_{sc,n}^{\star}T(\alpha,\beta)$ consisting of analytic functions with negative coefficients defined by using Salagean operator and are, respectively, $n$-starlike with respect to symmetric points, $n$-starlike with respect to conjugate points and $n$-starlike with respect to symmetric conjugate points. Several properties like, coefficient bounds, growth and distortion theorems, radii of starlikeness, convexity and close-to-convexity are investigated.
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Keywords: Analytic; univalent; starlike; symmetric; conjugate. |
MSC: 30C45 |
Pages: 215$-$226 |
Volume 62 , Issue 3 , 2010 |
