Growth of solutions of a class of complex differential equations

Ting-Bin Cao. "Growth of solutions of a class of complex differential equations." Annales Polonici Mathematici 95.2 (2009): 141-152. <http://eudml.org/doc/280903>.

@article{Ting2009,
abstract = {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 $f^\{\prime \}-e^\{P(z)\}f = 1$ 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].},
author = {Ting-Bin Cao},
journal = {Annales Polonici Mathematici},
keywords = {hyperorder; differential equation; entire function; growth of solutions},
language = {eng},
number = {2},
pages = {141-152},
title = {Growth of solutions of a class of complex differential equations},
url = {http://eudml.org/doc/280903},
volume = {95},
year = {2009},
}

TY - JOUR
AU - Ting-Bin Cao
TI - Growth of solutions of a class of complex differential equations
JO - Annales Polonici Mathematici
PY - 2009
VL - 95
IS - 2
SP - 141
EP - 152
AB - 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 $f^{\prime }-e^{P(z)}f = 1$ 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].
LA - eng
KW - hyperorder; differential equation; entire function; growth of solutions
UR - http://eudml.org/doc/280903
ER -