典型文献
Uniqueness of Meromorphic Solutions for a Class of Complex Linear Differential-Difference Equations
文献摘要：
In this paper,we mainly study the uniqueness of transcendental meromorphic solu-tions for a class of complex linear differential-difference equations.Specially,suppose that f(z)is a finite order transcendental meromorphic solution of complex linear differential-difference equation:W1(z)f'(z+1)+W2(z)f(z)=W3(z),where W1(z),W2(z),W3(z)are nonzero mero-morphic functions,with their orders of growth being less than one,such that W1(z)+W2(z)(≠)0.If f(z)and a meromorphic function g(z)share 0,1,∞ CM,then either f(z)≡ g(z)or f(z)+g(z)≡ f(z)g(z)or f2(z)(g(z)-1)2+g2(z)(f(z)-1)2 ≡ f(z)g(z)(f(z)g(z)-1)or there exists a polynomial ψ(z)=az+b0 such that f(z)=1-eψ/eψ(z)(ea0-b0-1),g(z)=1-eψ(z)/eb0-a0,where a(≠ 0),a0,b0 are constants with ea0 ≠ eb0.
文献关键词：
中图分类号：
作者姓名：
Hongjin LIN;Junfan CHEN;Shuqing LIN
作者机构：
School of Mathematics and Statistics,Fujian Normal University,Fujian 350117,P.R.China
文献出处：
引用格式：
[1]Hongjin LIN;Junfan CHEN;Shuqing LIN-.Uniqueness of Meromorphic Solutions for a Class of Complex Linear Differential-Difference Equations)[J].数学研究及应用,2022(04):331-348
A类：
+W2,mero,2+g2,az+b0,ea0,eb0
B类：
Uniqueness,Meromorphic,Solutions,Class,Complex,Linear,Differential,Difference,Equations,In,this,paper,we,mainly,study,uniqueness,transcendental,meromorphic,class,complex,linear,differential,difference,equations,Specially,suppose,that,finite,solution,W1,z+1,W3,where,nonzero,functions,their,orders,growth,being,less,than,one,such,If,share,CM,then,either,f2,there,exists,polynomial,constants
AB值：
0.494179
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