Publication details

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

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Authors

JEKL Jan

Year of publication 2022
Type Article in Periodical
Magazine / Source Mathematical Methods in the Applied Sciences
MU Faculty or unit

Faculty of Science

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.
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