On a Conjecture Concerning Some Nonlinear Difference Equations
Bulletin of the Malaysian Mathematical Society, Tome 36 (2013) no. 1
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In this paper, we mainly study non-existence of infinite order entire solutions of the nonlinear difference equation of the form
where $n(\geq 2)$ is an integer, $q(z)$ is a non-constant polynomial, which concerns a conjecture raised by Yang and Laine.
| $f(z)^{n}+q(z)f(z+1)=c \sin bz,$ |
Classification :
Primary 30D35, 39A10
@article{BMMS_2013_36_1_a20,
author = {Chang-Wen Peng and Zong-Xuan Chen},
title = {On a {Conjecture} {Concerning} {Some} {Nonlinear} {Difference} {Equations}},
journal = {Bulletin of the Malaysian Mathematical Society},
year = {2013},
volume = {36},
number = {1},
url = {http://geodesic.mathdoc.fr/item/BMMS_2013_36_1_a20/}
}
Chang-Wen Peng; Zong-Xuan Chen. On a Conjecture Concerning Some Nonlinear Difference Equations. Bulletin of the Malaysian Mathematical Society, Tome 36 (2013) no. 1. http://geodesic.mathdoc.fr/item/BMMS_2013_36_1_a20/