The main purpose of this paper is to partly answer a question of L. Z. Yang [Israel J. Math. 147 (2005), 359-370] by proving that every entire solution f of the differential equation has infinite order and its hyperorder is a positive integer or infinity, where P is a nonconstant entire function of order less than 1/2. As an application, we obtain a uniqueness theorem for entire functions related to a conjecture of Brück [Results Math. 30 (1996), 21-24].
@article{bwmeta1.element.bwnjournal-article-doi-10_4064-ap95-2-5,
author = {Ting-Bin Cao},
title = {Growth of solutions of a class of complex differential equations},
journal = {Annales Polonici Mathematici},
volume = {95},
year = {2009},
pages = {141-152},
zbl = {1173.34054},
language = {en},
url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-ap95-2-5}
}
Ting-Bin Cao. Growth of solutions of a class of complex differential equations. Annales Polonici Mathematici, Tome 95 (2009) pp. 141-152. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-ap95-2-5/