ON PROPERTIES OF MEROMORPHIC SOLUTIONS FOR COMPLEX DIFFERENCE EQUATION OF MALMQUIST TYPE

被引：0

作者：

黄志波 ^{[1
]}

陈宗煊 ^{[1
]}

李倩 ^{[2
]}

机构：

[1] School of Mathematical Sciences, South China Normal University

[2] Department of Applied Mathematics, South China Agricultural University

来源：

Acta Mathematica Scientia | 2013年 / 33卷 / 04期

关键词：

zeros; poles; fixed-points; Borel exceptional value; diference equation;

D O I：

暂无

中图分类号：

O174.52 [整数函数论、亚纯函数论（半纯函数论）];

学科分类号：

070104 ;

摘要：

In this paper,we present the properties on zeros,fixed points,poles,Borel exceptional value of finite order transcendental meromorphic solutions of complex diference equation of Malmquist type n j=1 f(z + c j) = R(f(z)) = P(f(z))/Q(f(z)) =(P f(z)p+ ap-1 f(z)p-1+…+ a1 f(z) + a0)/(Q(f(z)q + bq-1 f(z)q-1+…+ b1 f(z) + b0),where n(∈ N)≥ 2,P(f(z)) and Q(f(z)) are relatively prime polynomials in f(z) with rational coefcients a s(s = 0,1,,p) and b t(t = 0,1,,q) such that a0 a p b q ≡ 0,and also consider the existence and the forms on rational solutions of this type of diference equations.Some examples are also listed to show that the assumptions of theorems,in certain senses,are the best possible.

引用

页码：1141 / 1152

页数：12

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