SOME CHARACTERIZATIONS OF SEMI-BLOCH FUNCTIONS

被引：1

作者：

AULASKARI, R ^{[1
]}

LAPPAN, P ^{[1
]}

机构：

[1] MICHIGAN STATE UNIV, DEPT MATH, E LANSING, MI 48824 USA

来源：

PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY | 1993年 / 119卷 / 04期

关键词：

D O I：

10.2307/2159986

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

A function f analytic in the unit disk is called a semi-Bloch function if, for each complex number lambda, the function g(lambda)(z) = exp(lambdaf(z)) is a normal function. We give both an analytic and a geometric characterization of semi-Bloch functions, together with some examples to show that semi-Bloch functions are not closed under either addition or multiplication.

引用

页码：1233 / 1238

页数：6

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