ON THE GROWTH OF ENTIRE-FUNCTIONS

被引：2

作者：

KWON, KH ^{[1
]}

机构：

[1] KOREA MIL ACAD, DEPT MATH, NOWON GU, SEOUL 139799, SOUTH KOREA

来源：

ISRAEL JOURNAL OF MATHEMATICS | 1994年 / 86卷 / 1-3期

关键词：

D O I：

10.1007/BF02773689

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Suppose that alpha: > 1, 0 < R < infinity and that f is analytic in \z\ less than or equal to alpha R with \f(0)\ greater than or equal to 1. It is shown that for a constant d(alpha) depending only on alpha, log M(R, f) less than or equal to d(alpha)T(R, f)T-1/2(alpha R, f)(1/2). Therefore if f is entire of order lambda < infinity,log M(r, f)/T(r, f) has order at most lambda/2. These results are shown by example to be quite precise.

引用

页码：409 / 427

页数：19