International Journal of Mathematics and Mathematical Sciences
Volume 2007 (2007), Article ID 72393, 5 pages
doi:10.1155/2007/72393
On certain multivalent functions
Mamoru Nunokawa1
, Shigeyoshi Owa2
, Tadayuki Sekine3
, Rikuo Yamakawa4
, Hitoshi Saitoh5
and Junichi Nishiwaki2
1798-8 Hoshikuki-Machi, Chuo-Ku, Chiba-Shi, Chiba 260-0808, Japan
2Department of Mathematics, Kinki University, Higashi-Osaka, Osaka 577-8502, Japan
3Research unit of Mathematics, College of Pharmacy, Nihon University, 7-1 Narashinodai 7-Chome, Funabashi-Shi, Chiba 274-8555, Japan
4Department of Mathematics, Shibaura Institute of Technology, Minuma, Saitama-Shi, Saitama 337-8570, Japan
5Department of Mathematics, Gunma National College of Technology, Maebashi 371-8530, Gunma, Japan
Abstract
Let 𝒮*(p,α) be the class of functions f(z) which are analytic and p-valently starlike of order α in the open unit disk E. The object of the present paper is to derive an interesting condition for f(z) to be in the class 𝒮*(p,α).