On Growth of Meromorphic Solutions for Linear Difference Equations

Abstract EN

We mainly study growth of linear difference equations Pn(z)f(z+n)+⋯+P1(z)f(z+1)+P0(z)f(z)=0 and Pn(z)f(z+n)+⋯+P1(z)f(z+1)+P0(z)f(z)=F(z), where F(z),P0(z),…,Pn(z) are polynomials such that F(z)P0(z)Pn(z)≢0 and give the most weak condition to guarantee that orders of all transcendental meromorphic solutions of the above equations are greater than or equal to 1.