6 citations · 6 across the 3 of their papers we have counts for
3 papers
math.CA2024
-potent Schwarz matrices and Bessel-like Jacobi polynomials
Alexander Dyachenko, Carlos M. da Fonseca, Mikhail Tyaglov
We consider the problem of the reconstruction of a Schwarz matrix from exactly one given eigenvalue. This inverse eigenvalue problem leads to the Jacobi orthogonal polynomials~$\{P…
math.CA2023
A generalized Hermite-Biehler theorem
Rostyslav Kozhan, Mikhail Tyaglov
The classical Hermite-Biehler theorem describes possible zero sets of complex linear combinations of two real polynomials whose zeros strictly interlace. We provide the full charac…
math.CA2010★ 6 cited
Generalized Hurwitz polynomials
Mikhail Tyaglov
We describe a wide class of polynomials, which is a natural generalization of Hurwitz stable polynomials. We also give a detailed account of so-called self-interlacing polynomials,…