@article{Wang2022, 
author = {Zheng Wang and Zhi Gang Huang},
title = {On transcendental directions of entire solutions of linear differential equations},
year = {2022},
journal = {AIMS Mathematics},
volume = {7},
number = {1},
pages = {276-287},
keywords = {transcendental direction, entire function, Jackson difference operator, linear differential equation},
url = {https://www.sciopen.com/article/10.3934/math.2022018},
doi = {10.3934/math.2022018},
abstract = {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  (  ≥  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.}
}