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.

引用

页码：405 / 419

页数：15

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