Linear differential operators with polynomial coefficients generating generalised Sylvester-Kac matrices
Autor: | Dyachenko, Alexander, Tyaglov, Mikhail |
---|---|
Rok vydání: | 2021 |
Předmět: | |
Druh dokumentu: | Working Paper |
Popis: | 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. In addition, we explain spectral properties of two related tridiagonal matrices whose shape differ from our generalisation. Comment: 10 pages |
Databáze: | arXiv |
Externí odkaz: |