MEROMORPHIC SOLUTIONS OF SOME COMPLEX NON-LINEAR DIFFERENCE EQUATIONS

被引：2
|
作者：
Qi, X. -G. [1 ]
Yang, L. -Z. [2 ]
机构：
[1] Univ Jinan, Sch Math, Jinan 250022, Shandong, Peoples R China
[2] Shandong Univ, Sch Math, Jinan 250100, Shandong, Peoples R China
来源：
ANALYSIS MATHEMATICA | 2021年 / 47卷 / 02期
关键词：
meromorphic solution; Fermat functional equation; value distribution; growth; FUNCTIONAL-EQUATIONS; ZEROS;
D O I：
10.1007/s10476-021-0085-7
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
This paper is devoted to investigating the growth and zeros of meromorphic solutions of the generalized Fermat functional equation f(2) (z+1)+ A(1)(z)f(z+1)f(z+1)f(z)+A(2)f(2)(z) =A(3)(z), where A(1)(z), A(2)(z), (A3)(z) are polynomials with A(3)(z) not equivalent to 0. The corresponding homogeneous equation of the above equation is studied as well.
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页码：405 / 419
页数：15
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