MATEMATIČKI VESNIK
МАТЕМАТИЧКИ ВЕСНИК



MATEMATIČKI VESNIK
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