A PROPERTY OF CERTAIN ANALYTIC FUNCTIONS

  • Shigeyoshi Owa (Department of Mathemacis, Kinki University, Higashi-Osaka, Osaka 577, Japan) ;
  • Kang, Jin-Sook (Department of Mathematics, Pusan National University, Pusan 609-735)
  • 발행 : 1995.08.01

초록

Let N be the class of functions of the form $$ (1.1) p(z) = 1 + p_1 z + p_2 z^2 + \cdots $$ which are analytic in the open unit disk $U = {z : $\mid$z$\mid$ < 1}$. If $p(z) \in N$ satisfies $Rep(z) > 0 (z \in U)$, then p(z) is called a Caratheodory function (cf. Goodman [2]).