Uniqueness theorems for entire functions whose difference polynomials share a meromorphic function of a smaller order

被引：7

作者：

Li, Xiao-Min ^{[1
,2
]}

Li, Wen-Li ^{[1
]}

Yi, Hong-Xun ^{[3
]}

Wen, Zhi-Tao ^{[1
,2
]}

机构：

[1] Ocean Univ China, Dept Math, Qingdao 266100, Shandong, Peoples R China

[2] Univ Eastern Finland, Dept Math & Phys, FI-80101 Joensuu, Finland

[3] Shandong Univ, Dept Math, Jinan 250100, Shandong, Peoples R China

来源：

ANNALES POLONICI MATHEMATICI | 2011年 / 102卷 / 02期

关键词：

entire function; order of growth; shared value; difference polynomial; uniqueness; EQUATIONS; OPERATOR; SHIFTS; VALUES;

D O I：

10.4064/ap102-2-2

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We deal with uniqueness of entire functions whose difference polynomials share a nonzero polynomial CM, which corresponds to Theorem 2 of I. Laine and C. C. Yang [Proc. Japan Acad. Ser. A 83 (2007), 148-151] and Theorem 1.2 of K. Liu and L. Z. Yang [Arch. Math. 92 (2009), 270-278]. We also deal with uniqueness of entire functions whose difference polynomials share a meromorphic function of a smaller order, improving Theorem 5 of J. L. Zhang [J. Math. Anal. Appl. 367 (2010), 401-408], where the entire functions are of finite orders.

引用

页码：111 / 127

页数：17

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