Wiman-Valiron method for difference equations

被引：62

作者：

Ishizaki, K ^{[1
]}

Yanagihara, N ^{[1
]}

机构：

[1] Nippon Inst Technol, Dept Math, Saitama 3450826, Japan

来源：

NAGOYA MATHEMATICAL JOURNAL | 2004年 / 175卷

关键词：

D O I：

10.1017/S0027763000008916

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Let f (z) be an entire function of order less than 1/2. We consider an analogue of the Wiman-Valiron theory rewriting power series of f (z) into binomial series. As an application, it is shown that if a transcendental entire solution f (z) of a linear difference equation is of order X < 1/2, then we have log M(r, f) = Lr-x (1 + o(1)) with a constant L > 0.

引用

页码：75 / 102

页数：28

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