Communications of the Korean Mathematical Society (대한수학회논문집)
- Volume 10 Issue 2
- /
- Pages.305-315
- /
- 1995
- /
- 1225-1763(pISSN)
- /
- 2234-3024(eISSN)
ON CERTAIN SUBCLASSES OF STARLIKE FUNCTIONS
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 $R_{\gamma-1,p}(A,B,\alpha)$.