Back to Search Start Over

Closed‐form solutions of second‐order linear difference equations close to the self‐adjoint Euler type.

Authors :
Jekl, Jan
Source :
Mathematical Methods in the Applied Sciences. 3/30/2023, Vol. 46 Issue 5, p5314-5327. 14p.
Publication Year :
2023

Abstract

This paper is dedicated to obtaining closed‐form solutions of linear difference equations which are asymptotically close to the self‐adjoint Euler‐type difference equation. In this sense, the equation is related to the Euler–Cauchy differential equation y′′+λ/t2y=0$$ {y}^{\prime \prime }+\lambda /{t}^2y=0 $$. Throughout the paper, we consider a system of sequences which behave asymptotically as an iterated logarithm. [ABSTRACT FROM AUTHOR]

Details

Language :
English
ISSN :
01704214
Volume :
46
Issue :
5
Database :
Academic Search Index
Journal :
Mathematical Methods in the Applied Sciences
Publication Type :
Academic Journal
Accession number :
162398178
Full Text :
https://doi.org/10.1002/mma.8836