# Some Properties Subclasses of Analytic Functions

Frasin, Basem Aref

• Accepted : 2013.03.27
• Published : 2014.12.23
• 23 4

#### Abstract

The object of the present paper is to discuss some interesting properties of analytic functions f(z) associated with the subclasses $\mathcal{D}({\beta}_1,{\beta}_2,{\beta}_3;{\lambda})$, $\mathcal{G}({\theta},{\alpha})$ and $\mathcal{Q}({\theta},{\alpha})$. Also, radius problems of $\frac{1}{\delta}f({\delta}z)$ for f(z) in the class $\mathcal{D}({\beta}_1,{\beta}_2,{\beta}_3;{\lambda})$, $\mathcal{G}({\theta},{\alpha})$ and $\mathcal{Q}({\theta},{\alpha})$ are considered.

#### Keywords

2. Neslihan Uyanik and Shigeyoshi Owa, New extensions for classes of analytic functions associated with close-to-convex and starlike of order ${\alpha}$, Mathematical and Computer Modelling, 54(2011), 359-366. https://doi.org/10.1016/j.mcm.2011.02.020