Growth of Meromorphic Solutions of Complex Linear Differential-Difference Equations with Coefficients Having the Same Order

摘要

The main purpose of this paper is to study the growth of meromorphic solutions of complex linear differential-difference equations L（z, f） =n∑i=0m∑j=0Aij（z）f（j）（z + ci） = 0 or F（z）with entire or meromorphic coefficients, and ci, i = 0,..., n being distinct complex numbers,where there is only one dominant coefficient.