GROWTH OF MEROMORPHIC SOLUTIONS FOR COMPLEX DIFFERENCE EQUATIONS OF MALMQUIST TYPE

被引：0
|
作者：
Zhang, Y. Y. [1 ,2 ]
Gao, Z. S. [1 ,2 ]
Zhang, J. L. [1 ,2 ]
机构：
[1] Beihang Univ, LMIB, Beijing 100191, Peoples R China
[2] Beihang Univ, Sch Math & Syst Sci, Beijing 100191, Peoples R China
来源：
BULLETIN OF THE IRANIAN MATHEMATICAL SOCIETY | 2016年 / 42卷 / 06期
关键词：
Complex difference; meromorphic; Malmquist type; PAINLEVE EQUATIONS;
D O I：
暂无
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this paper, we give some necessary conditions for a complex difference equation of Malmquist type n Sigma f(z+c(j)) = P(f(z))/Q(f(z)) j=1 where n(is an element of N) >= 2, and P(f(z)) and Q(f(z)) are relatively prime polynomials in f(z) with small functions as coefficients, admitting a meromorphic function of finite order. Moreover, the properties of finite order transcendental meromorphic solutions for complex difference equation Pi(n)(j=1) f(z+c(j)) = P(f(z))/Q(f(z)) are also investigated.
引用
收藏
页码：1497 / 1505
页数：9
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