Author:
Manuel M MariaSusai,Kılıçman Adem,Xavier G BrittoAntony,Pugalarasu R,Dilip DS
Abstract
Abstract
In this article, the authors discuss
ℓ
2
(
ℓ
)
and
c
0
(
ℓ
)
solutions of the second order generalized difference equation
Δ
ℓ
2
u
(
k
)
+
f
(
k
,
u
(
k
)
)
=
0
,
k
∈
[
a
,
∞
)
,
a
>
0
and we prove the condition for non existence of non-trivial solution where
Δ
ℓ
u
(
k
)
=
u
(
k
+
ℓ
)
−
u
(
k
)
for
ℓ
>
0
. Further we present some formulae and examples to find the values of finite and infinite series in number theory as application of
Δ
ℓ
.
MSC:39A12, 39A70, 47B39, 39B60.
Publisher
Springer Science and Business Media LLC
Subject
Applied Mathematics,Algebra and Number Theory,Analysis
Cited by
3 articles.
订阅此论文施引文献
订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献