P. Šťovíček

activity

19942024

δ

--type Interaction

104 citations · 320 across the 42 of their papers we have counts for

collaborators

46 papers

math.SP2024★ 1 cited

On positive Jacobi matrices with compact inverses

Pavel Šťovíček, Grzegorz Świderski

We consider positive Jacobi matrices $J$ with compact inverses and consequently with purely discrete spectra. A number of properties of the corresponding sequence of orthogonal pol…

math-ph2024

Coulomb Green's function and an addition formula for the Whittaker functions

Pavel Šťovíček

A series of the form $\sum_{ℓ = 0}^{\infty} c (κ, ℓ) M_{κ, ℓ + 1/2} (r_{0}) W_{κ, ℓ + 1/2} (r) P_{ℓ} (cos (γ))$ is evaluated explicitly where $c (κ, ℓ)$ are suitable complex coeff…

math-ph2022

A family of orthogonal polynomials corresponding to Jacobi matrices with a trace class inverse

Pavel Stovicek

Assume that ${a_{n}; n \geq 0}$ is a sequence of positive numbers and $\sum a_{n}^{- 1} < \infty$ . Let $α_{n} = k a_{n}$ , $β_{n} = a_{n} + k^{2} a_{n - 1}$ where $k \in (0, 1)$ is a parameter,…

math.SP2019

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 $k \in (0, 1)$ are presented. The Hankel matrices are regarded as matrix operators on the Hilbe…

math.CA2019

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…

math.SP2019

On infinite Jacobi matrices with a trace class resolvent

Pavel Stovicek

Let ${P^_{n} (x)}$ be an orthonormal polynomial sequence and denote by ${w_{n} (x)}$ the respective sequence of functions of the second kind. Suppose the Hamburger moment pr…