Growth and oscillation of meromorphic solutions of linear difference equations. (English) Zbl 1349.39023

Summary: We study the growth and the oscillation of solutions of linear difference equations with meromorphic coefficients. Also, we investigate the growth of difference polynomials generated by meromorphic solutions of some difference equations. We improve and generalize some results due to Z. X. Chen, I. Laine and C. C. Yang.


39A22 Growth, boundedness, comparison of solutions to difference equations
39A06 Linear difference equations
35A21 Singularity in context of PDEs
34D30 Structural stability and analogous concepts of solutions to ordinary differential equations
39A45 Difference equations in the complex domain