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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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