2021
DOI: 10.48550/arxiv.2103.03554
|View full text |Cite
Preprint
|
Sign up to set email alerts
|

On the solutions of second order difference equations with variable coefficients

Abstract: In this article we study solutions to second order linear difference equations with variable coefficients. Under mild conditions we provide closed form solutions using finite continued fraction representations. The proof of the results are elementary and based on factoring a quadratic shift operator. As an application, we obtain two new generalized continued fraction formulas for the mathematical constant π 2 .

Help me understand this report

Search citation statements

Order By: Relevance

Paper Sections

Select...

Citation Types

0
0
0

Publication Types

Select...

Relationship

0
0

Authors

Journals

citations
Cited by 0 publications
references
References 11 publications
0
0
0
Order By: Relevance

No citations

Set email alert for when this publication receives citations?