Closed-form solutions of second-order linear difference equations close to the self-adjoint Euler type
| Authors | |
|---|---|
| Year of publication | 2023 |
| Type | Article in Periodical |
| Magazine / Source | Mathematical Methods in the Applied Sciences |
| MU Faculty or unit | |
| Citation | |
| Web | https://onlinelibrary.wiley.com/doi/full/10.1002/mma.8836 |
| Doi | http://dx.doi.org/10.1002/mma.8836 |
| Keywords | closed-form solution; discrete calculus; Euler-type equation; iterated logarithm |
| Description | 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 ''+lambda/t^2y = 0. Throughout the paper, we consider a system of sequences which behave asymptotically as an iterated logarithm. |
| Related projects: |