Research articles
ScienceAsia 50 (2024):ID 2024004 1-4 |doi:
10.2306/scienceasia1513-1874.2024.004
Growth of meromorphic solutions of complex differential and
difference equations
Yong Liu*, Haoyuan Wang
ABSTRACT: In this article, we investigate some properties of meromorphic solution of the following differentialdifference equation
Xn
j=0
cj
f (z + j) +Xn
j=0
l
j
f
(j)
(z + j) +Xm
j=0
dj
f
(j)
(z) ? c = (f (z + ?) ? f (z) ? b)e
Q
,
where n, m ? 1 are two integers, ? is a constant with |?| ?= n, Q is a polynomial. We study the growth of solutions of a
more general differential-difference equation given by L? et al [Rest Math 74 (2019):1?18]. Meantime we obtain the
relation between degQ and ?(f ).
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Department of Mathematics, Shaoxing University, Shaoxing, Zhejiang 312000 China |
* Corresponding author, E-mail: liuyongsdu1982@163.com
Received 24 Jan 2022, Accepted 15 Jun 2023
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