We give some growth properties for solutions of linear complex differential equations which are closely related to the Brück Conjecture. We also prove that the Brück Conjecture holds when certain proximity functions are relatively small.
@article{bwmeta1.element.bwnjournal-article-doi-10_4064-ap101-1-3, author = {Xiao-Guang Qi and Lian-Zhong Yang}, title = {Differential analogues of the Br\"uck conjecture}, journal = {Annales Polonici Mathematici}, volume = {101}, year = {2011}, pages = {31-38}, zbl = {1228.34143}, language = {en}, url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-ap101-1-3} }
Xiao-Guang Qi; Lian-Zhong Yang. Differential analogues of the Brück conjecture. Annales Polonici Mathematici, Tome 101 (2011) pp. 31-38. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-ap101-1-3/