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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.
Xiao-Guang Qi, and Lian-Zhong Yang. "Differential analogues of the Brück conjecture." Annales Polonici Mathematici 101.1 (2011): 31-38. <http://eudml.org/doc/280910>.
@article{Xiao2011, abstract = {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.}, author = {Xiao-Guang Qi, Lian-Zhong Yang}, journal = {Annales Polonici Mathematici}, keywords = {entire functions; differential equation; hyperorder}, language = {eng}, number = {1}, pages = {31-38}, title = {Differential analogues of the Brück conjecture}, url = {http://eudml.org/doc/280910}, volume = {101}, year = {2011}, }
TY - JOUR AU - Xiao-Guang Qi AU - Lian-Zhong Yang TI - Differential analogues of the Brück conjecture JO - Annales Polonici Mathematici PY - 2011 VL - 101 IS - 1 SP - 31 EP - 38 AB - 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. LA - eng KW - entire functions; differential equation; hyperorder UR - http://eudml.org/doc/280910 ER -