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## Certain classes of p-valent analytic functions with negative coefficients and (lambda,p)-starlike with respect to certain points

Authors: Adnan Ghazy Alamoush, Maslina Darus

### Abstract

In this article, we consider classes $S_{s,\lambda}^{*}(p, \alpha, \beta)$, $S_{c,\lambda}^{*}(p, \alpha, \beta)$, and $S_{sc,\lambda}^{*}(p, \alpha, \beta)$ of p-valent analytic functions with negative coefficients in the unit disk. They are, respectively, $(\lambda,p)$-starlike with respect to symmetric points, $(\lambda,p)$-starlike with respect to conjugate points, and $(\lambda,p)$-starlike with respect to symmetric conjugate points. Necessary and sufficient coefficient conditions for functions $f$ belonging to these classes are obtained. Several properties such as the coefficient estimates, growth and distortion theorems, extreme points, radii of starlikeness, convexity, and integral operator are studied.

School of Mathematical Sciences
Faculty of Science and Technology
Universiti Kebangsaan Malaysia
43600 UKM Bangi Selangor, Malaysia
E-mail: ,

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