THE EXTREME POINTS OF A CLASS OF ANALYTIC FUNCTIONS WITH POSITIVE REAL PART AND A PRESCRIB

THE EXTREME POINTS OF A CLASS OF ANALYTIC FUNCTIONS WITH POSITIVE REAL PART AND A

PRESCRIBED SET OF VALUES

Peng Zhigang

【期刊名称】《数学物理学报（英文版）》 【年(卷),期】2012(032)005 【

摘

要

】

Let

ζ=(0,z1,z2,...,zn)with|zj|

＜

≤

1for

1≤j

≤n,ω=(1,w1,w2,...,wn),and P(ζ,w) denote the set of functions p(z) that are analytic in D ={z:|z| ＜ 1} and satisfy Rep(z) ≥ 0 (|z| ＜ 1),p(0) =1,p(zj) =wj,j =1,2,…,n.In this article we investigate the extreme points of P(ζ,w). 【总页数】8页(1929-1936) 【关键词】

【作者】Peng Zhigang

【作者单位】Faculty of Mathematics and Computer Science, Hubei University, Wuhan 430062, China 【正文语种】中文 【中图分类】 【相关文献】

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