1 citations · 1 across the 2 of their papers we have counts for
9 papers
Asymptotic root distribution of Charlier polynomials with large negative parameter
Petr Blaschke, František Štampach
We analyze the asymptotic distribution of roots of Charlier polynomials with negative parameter depending linearly on the index. The roots cluster on curves in the complex plane. W…
New family of symmetric orthogonal polynomials and a solvable model of a kinetic spin chain
Tomáš Kalvoda, František Štampach
We study an infinite one-dimensional Ising spin chain where each particle interacts only with its nearest neighbors and is in contact with a heat bath with temperature decaying hyp…
New explicitly diagonalizable Hankel matrices related to the Stieltjes-Carlitz polynomials
František Štampach, Pavel Šťovíček
Four new examples of explicitly diagonalizable Hankel matrices depending on a parameter are presented. The Hankel matrices are regarded as matrix operators on the Hilbe…
On Hankel matrices commuting with Jacobi matrices from the Askey scheme
František Štampach, Pavel Šťovíček
A complete characterization is provided of Hankel matrices commuting with Jacobi matrices which correspond to hypergeometric orthogonal polynomials from the Askey scheme. It follow…
Location of eigenvalues of non-self-adjoint discrete Dirac operators
Biagio Cassano, Orif O. Ibrogimov, David Krejcirik +1
We provide quantitative estimates on the location of eigenvalues of one-dimensional discrete Dirac operators with complex -potentials for . As a corollar…
Spectral enclosures for non-self-adjoint discrete Schrödinger operators
Orif O. Ibrogimov, František Štampach
We study location of eigenvalues of one-dimensional discrete Schrödinger operators with complex -potentials for . In the case of -potentials…