THE VALUE DISTRIBUTION AND UNIQUENESS OF ONE CERTAIN TYPE OF DIFFERENTIAL-DIFFERENCE POLYNOMIALS

被引：7
|
作者：
Zhang, Keyu [1 ,2 ]
Yi, Hongxun [2 ]
机构：
[1] Qilu Normal Univ, Dept Math, Jinan 250013, Peoples R China
[2] Shandong Univ, Dept Math, Jinan 251000, Peoples R China
来源：
ACTA MATHEMATICA SCIENTIA | 2014年 / 34卷 / 03期
基金：
中国国家自然科学基金;
关键词：
Meromorphic; uniqueness; value distribution; differential-difference;
D O I：
10.1016/S0252-9602(14)60043-6
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this article, we investigate the distribution of the zeros and uniqueness of differential-difference polynomials G(z) = (f(n()fm(z) - 1)(m) Pi(d)(j=1) f(z + cj) (uj))((k)) - a(z), H(z) = (f(n()fm(z) - 1)(m) Pi(d)(j=1) f(z + cj) (uj))((k)) - a(z), where f is transcendental entire function of finite order, c(j)(j = 1, 2...., d), n,m, d, and v(j)(j = 1, 2,..., d) are integers, and obtain some theorems, which extended and improved many previous results.
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页码：719 / 728
页数：10
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