@article{Li2022, 
author = {Jingjing Li and Zhigang Huang},
title = {Radial distributions of Julia sets of difference operators of entire solutions of complex differential equations},
year = {2022},
journal = {AIMS Mathematics},
volume = {7},
number = {4},
pages = {5133-5145},
keywords = {Julia sets, radial distribution, entire function, difference operator, complex differential equations},
url = {https://www.sciopen.com/article/10.3934/math.2022286},
doi = {10.3934/math.2022286},
abstract = {In this paper, we mainly investigate the radial distribution of Julia sets of difference operators of entire solutions of complex differential equation    F  (  z  )      f          n        (  z  )  +  P  (  z  ,  f  )  =  0, where    F  (  z  ) is a transcendental entire function and    P  (  z  ,  f  ) is a differential polynomial in    f and its derivatives. We obtain that the set of common limiting directions of Julia sets of non-trivial entire solutions, their shifts have a definite range of measure. Moreover, an estimate of lower bound of measure of the set of limiting directions of Jackson difference operators of non-trivial entire solutions is given.}
}