- ON CERTAIN SUBCLASSES OF STARLIKE FUNCTIONS
- Kwon, Oh-Sang ;
- Communications of the Korean Mathematical Society, volume 10, issue 2, 1995, Pages 305~315
Abstract
The class $R_{\gamma-1,p}(A,B,\alpha)$ for $-1 \leq B < A \leq 1,\gamma > (B -1)p+(A_B)(p-\alpha)/1-B$ and $0 \leq \alpha < p$ consisting of p-valently analytic functions in the open unit disc is defined with the help of convolution technique. We study containment property, integral transforms and a sufficient condition for an analytic function to be in $R_{\gamma-1,p}(A,B,\alpha)$.