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@article{2233897,
author = {Jekl, Jan},
article_number = {5},
doi = {http://dx.doi.org/10.1002/mma.8836},
keywords = {closed-form solution; discrete calculus; Euler-type equation; iterated logarithm},
language = {eng},
issn = {0170-4214},
journal = {Mathematical Methods in the Applied Sciences},
title = {Closed-form solutions of second-order linear difference equations close to the self-adjoint Euler type},
url = {https://onlinelibrary.wiley.com/doi/full/10.1002/mma.8836},
volume = {46},
year = {2023}
}
TY - JOUR
ID - 2233897
AU - Jekl, Jan
PY - 2023
TI - Closed-form solutions of second-order linear difference equations close to the self-adjoint Euler type
JF - Mathematical Methods in the Applied Sciences
VL - 46
IS - 5
SP - 5314-5327
EP - 5314-5327
PB - Wiley
SN - 01704214
KW - closed-form solution
KW - discrete calculus
KW - Euler-type equation
KW - iterated logarithm
UR - https://onlinelibrary.wiley.com/doi/full/10.1002/mma.8836
N2 - 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.
ER -
JEKL, Jan. Closed-form solutions of second-order linear difference equations close to the self-adjoint Euler type. \textit{Mathematical Methods in the Applied Sciences}. Wiley, 2023, roč.~46, č.~5, s.~5314-5327. ISSN~0170-4214. Dostupné z: https://dx.doi.org/10.1002/mma.8836.
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