Affiliation:
1. Department of Mathematics , Laboratory of Pure and Applied Mathematics , University of Mostaganem (UMAB) , B. P. 227 Mostaganem , Algeria
Abstract
Abstract
This paper is devoted to the study of the growth of
meromorphic solutions of homogeneous and non-homogeneous linear
differential-difference equations
∑
i
=
0
n
∑
j
=
0
m
A
i
j
f
(
j
)
(
z
+
c
i
)
=
0
,
\displaystyle\sum_{i=0}^{n}\sum_{j=0}^{m}A_{ij}f^{(j)}(z+c_{i})=0,
∑
i
=
0
n
∑
j
=
0
m
A
i
j
f
(
j
)
(
z
+
c
i
)
=
F
,
\displaystyle\sum_{i=0}^{n}\sum_{j=0}^{m}A_{ij}f^{(j)}(z+c_{i})=F,
where
A
i
j
{A_{ij}}
(
i
=
0
,
…
,
n
{i=0,\ldots,n}
,
j
=
0
,
…
,
m
{j=0,\ldots,m}
), F are meromorphic
functions and
c
i
{c_{i}}
(
0
,
…
,
n
{0,\ldots,n}
) are non-zero distinct complex
numbers. Under some conditions on the coefficients, we extend early results
due to Zhou and Zheng.
Subject
Applied Mathematics,Numerical Analysis,Analysis
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