International Journal of Mathematics and Mathematical Sciences
Volume 29 (2002), Issue 5, Pages 271-277
doi:10.1155/S0161171202007378
Radius of strongly starlikeness for certain analytic functions
Oh Sang Kwon1
and Shigeyoshi Owa2
1Department of Mathematics, Kyungsung University, Pusan 608-736, Korea
2Department of Mathematics, Kinki University, Osaka, Higashi-Osaka 577-8502, Japan
Abstract
For analytic functions f(z)=zp+ap+1zp+1+⋯ in the open unit disk U and a polynomial Q(z) of degree n>0, the function F(z)=f(z)[Q(z)]β/n is introduced. The object of the present paper is to determine the radius of p-valently strongly starlikeness of order γ for F(z).