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

doi:10.1016/S0252-9602(14)60043-6

数学物理学报(英文版) ›› 2014, Vol. 34 ›› Issue (3): 719-728.doi: 10.1016/S0252-9602(14)60043-6

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

张克玉*, 仪洪勋

Department of Mathematics, Qilu Normal University, Jinan 250013, China；Department of Mathematics, Shandong University, Jinan 251000, China； Department of Mathematics, Shandong University, Jinan 251000, China

收稿日期:2012-11-16 修回日期:2013-04-23 出版日期:2014-05-20 发布日期:2014-05-20
作者简介:张克玉|sduzky@163.com|keyu 292@163.com
基金资助:
This article is supported by National Natural Science Foundation of China (11171184).

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

ZHANG Ke-Yu*, YI Hong-Xun

Department of Mathematics, Qilu Normal University, Jinan 250013, China；Department of Mathematics, Shandong University, Jinan 251000, China； Department of Mathematics, Shandong University, Jinan 251000, China

Received:2012-11-16 Revised:2013-04-23 Online:2014-05-20 Published:2014-05-20
About author:ZHANG Ke-Yu|sduzky@163.com|keyu 292@163.com
Supported by:
This article is supported by National Natural Science Foundation of China (11171184).

摘要/Abstract

摘要：

In this article, we investigate the distribution of the zeros and uniqueness of differential-difference polynomials
G(z) = (fⁿ(f^m(z) − 1)∏^d_j₌₁f(z + c_j)^v_j)^(k)− α(z),
H(z) = (fⁿ(f(z) − 1)^m∏^d_j₌₁f(z + c_j )^v_j)^(k)− α(z),
where f is transcendental entire function of finite order, c_j(j = 1, 2, · · · , d), n, m, d, and vj (j = 1, 2, · · · , d) are integers, and obtain some theorems, which extended and improved many previous results.

关键词: Meromorphic, uniqueness, value distribution, differential-difference

Abstract:

Key words: Meromorphic, uniqueness, value distribution, differential-difference

中图分类号:

30D35

张克玉, 仪洪勋. THE VALUE DISTRIBUTION AND UNIQUENESS OF ONE CERTAIN TYPE OF DIFFERENTIAL-DIFFERENCE POLYNOMIALS[J]. 数学物理学报(英文版), 2014, 34(3): 719-728.

ZHANG Ke-Yu, YI Hong-Xun. THE VALUE DISTRIBUTION AND UNIQUENESS OF ONE CERTAIN TYPE OF DIFFERENTIAL-DIFFERENCE POLYNOMIALS[J]. Acta mathematica scientia,Series B, 2014, 34(3): 719-728.

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

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

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