Research articles
ScienceAsia 49 (2023): 369376 doi:
10.2306/scienceasia15131874.2023.002
On existence of meromorphic solutions for nonlinear
qdifference equation
Changwen Peng^{a,*}, Huawei Huang^{b}, Lei Tao^{b,c}
ABSTRACT: : In this paper, we mainly consider the existence of meromorphic solutions of nonlinear qdifference equation
of type
f (qz) + f (z/q) = P(z, f (z))
Q(z, f (z)),
where the righthand side is irreducible, P(z, f (z)) and Q(z, f (z)) are polynomials in f with rational coefficients, and q
is a nonzero complex constant. We obtain that such equation has no transcendental meromorphic solution when q = 1
and m = degf
(P)?degf
(Q) > 1. And we investigate the growth of transcendental meromorphic solutions of nonlinear
qdifference equation and find lower bounds for their characteristic functions for transcendental meromorphic solutions
of such equation for the case q ?= 1.
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^{a} 
College of Mathematics and Information Science, Guiyang University, Guiyang 550005 China 
^{b} 
School of Mathematical Sciences, Guizhou Normal University, Guiyang 550001 China 
^{c} 
School of Mathematics and Big Data, Guizhou Education University, Guiyang 550018 China 
* Corresponding author, Email: pengcw716@126.com
Received 12 Apr 2022, Accepted 2 Sep 2022
