Closed-form solutions of second-order linear difference equations close to the self-adjoint Euler type
| Autoři | |
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| Rok publikování | 2023 |
| Druh | Článek v odborném periodiku |
| Časopis / Zdroj | Mathematical Methods in the Applied Sciences |
| Fakulta / Pracoviště MU | |
| Citace | |
| www | https://onlinelibrary.wiley.com/doi/full/10.1002/mma.8836 |
| Doi | http://dx.doi.org/10.1002/mma.8836 |
| Klíčová slova | closed-form solution; discrete calculus; Euler-type equation; iterated logarithm |
| Popis | 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. |
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