Growth of meromorphic solutions of some functional equations I

被引：1

作者：

Bergweiler W. ^{[1
]}

Ishizaki K. ^{[3
]}

Yanagihara N. ^{[2
]}

机构：

[1] Christian-Albrechts-Universität zu Kiel, D-24098 Kiel

[2] Department of Mathematics, Faculty of Science, Chiba University, Inageku, Chiba 263

[3] Department of Mathematics, NIPPON Institute of Technology, Minamisaitama Saitama 345-8501

来源：

Aequationes mathematicae | 2002年 / 63卷 / 1-2期

关键词：

Functional equation; Growth of meromorphic function; Value distribution theory;

D O I：

10.1007/s00010-002-8012-x

中图分类号：

学科分类号：

摘要：

We show that each transcendental meromorphic solution f(z) of the functional equation ∑j=0naj(z)f(c jz) = Q(z), where Q and the aj, j = 0, ..., n are polynomials without common zeros, an(z)a0(z) ≠ 0 and 0 < |c| < 1, satisfies m(r, f) = δf (log r)2 (1 + o(1)) for some constant σ f. © Birkhäuser Verlag, 2002.

引用

页码：140 / 151

页数：11

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