On transcendental directions of entire solutions of linear differential equations

This paper is devoted to studying the transcendental directions of entire solutions of $f^{(n)}+A_{n-1}{f}^{(n-1)}+...+A_{0}f=0$, where $n(\ge 2)$ is an integer and $A_i(z)(i=0,1,...,n-1)$ are entire functions of finite lower order. With some additional conditions, the set of common transcendental directions of non-trivial solutions, their derivatives and their primitives must have a definite range of measure. Moreover, we obtain the lower bound of the measure of the set defined by the common transcendental directions of Jackson difference operator of non-trivial solutions.