Alexander Dyachenko, Mikhail Tyaglov
Published 2021-04-02Version 1
A method of generating differential operators is used to solve the spectral problem for a generalisation of the Sylvester-Kac matrix. As a by-product, we find a linear differential operator with polynomial coefficients of the first order that has a finite sequence of polynomial eigenfunctions generalising the operator considered by M. Kac.
A short proof of solution formulas for the linear differential equations with constant coefficients
Linear differential equations and Hurwitz series
Linear differential equations on $\mathbb{P}^{1}$ and root systems
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