2 papers
math.CA2021
Linear differential operators with polynomial coefficients generating generalised Sylvester-Kac matrices
Alexander Dyachenko, Mikhail Tyaglov
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…
math.CV2018
Linear finite difference operators with constant coefficients and distribution of zeros of polynomials
Olga Katkova, Mikhail Tyaglov, Anna Vishnyakova
We study the effect of finite difference operators of finite order on the distribution of zeros of polynomials and entire functions.