International Journal of Mathematics and Mathematical Sciences
Volume 26 (2001), Issue 11, Pages 701-706
doi:10.1155/S0161171201006020

Analytic functions of non-Bazilevič type and starlikeness

Milutin Obradović1 and Shigeyoshi Owa2

1Department of Mathematics, Faculty of Technology and Metallurgy, University of Belgrade, 4 Karnegijeva Street, Belgrade 11000, Serbia
2Department of Mathematics, Kinki University, Osaka, Higashi-Osaka 577-8502, Japan

Abstract

Two classes ¯n(μ,α,λ) and 𝒫¯n(μ,α,λ) of analytic functions which are not Bazilevič type in the open unit disk 𝕌 are introduced. The object of the present paper is to consider the starlikeness of functions belonging to the classes ¯n(μ,α,λ) and 𝒫¯n(μ,α,λ).