On the uniqueness of an entire function sharing a small entire function with some linear differential polynomial
Czechoslovak Mathematical Journal, Tome 59 (2009) no. 4, pp. 1039-1058
Cet article a éte moissonné depuis la source Czech Digital Mathematics Library
We prove a theorem on the growth of nonconstant solutions of a linear differential equation. From this we obtain some uniqueness theorems concerning that a nonconstant entire function and its linear differential polynomial share a small entire function. The results in this paper improve many known results. Some examples are provided to show that the results in this paper are the best possible.
We prove a theorem on the growth of nonconstant solutions of a linear differential equation. From this we obtain some uniqueness theorems concerning that a nonconstant entire function and its linear differential polynomial share a small entire function. The results in this paper improve many known results. Some examples are provided to show that the results in this paper are the best possible.
Classification :
30D30, 30D35
Keywords: entire functions; order of growth; shared values; uniqueness theorems
Keywords: entire functions; order of growth; shared values; uniqueness theorems
@article{CMJ_2009_59_4_a13,
author = {Li, Xiao-Min and Yi, Hong-Xun},
title = {On the uniqueness of an entire function sharing a small entire function with some linear differential polynomial},
journal = {Czechoslovak Mathematical Journal},
pages = {1039--1058},
year = {2009},
volume = {59},
number = {4},
mrnumber = {2563576},
zbl = {1224.30144},
language = {en},
url = {http://geodesic.mathdoc.fr/item/CMJ_2009_59_4_a13/}
}
TY - JOUR AU - Li, Xiao-Min AU - Yi, Hong-Xun TI - On the uniqueness of an entire function sharing a small entire function with some linear differential polynomial JO - Czechoslovak Mathematical Journal PY - 2009 SP - 1039 EP - 1058 VL - 59 IS - 4 UR - http://geodesic.mathdoc.fr/item/CMJ_2009_59_4_a13/ LA - en ID - CMJ_2009_59_4_a13 ER -
%0 Journal Article %A Li, Xiao-Min %A Yi, Hong-Xun %T On the uniqueness of an entire function sharing a small entire function with some linear differential polynomial %J Czechoslovak Mathematical Journal %D 2009 %P 1039-1058 %V 59 %N 4 %U http://geodesic.mathdoc.fr/item/CMJ_2009_59_4_a13/ %G en %F CMJ_2009_59_4_a13
Li, Xiao-Min; Yi, Hong-Xun. On the uniqueness of an entire function sharing a small entire function with some linear differential polynomial. Czechoslovak Mathematical Journal, Tome 59 (2009) no. 4, pp. 1039-1058. http://geodesic.mathdoc.fr/item/CMJ_2009_59_4_a13/