S. Zagorodnyuk

activity

20092026

most citedOn the Complex Symmetric and Skew-Symmetric Operators with a Simple Spectrum

11 citations · 55 across the 38 of their papers we have counts for

collaborators

Showing 2020Show all

3 papers · 1 filter

math.CA2020

On some Sobolev spaces with matrix weights and classical type Sobolev orthogonal polynomials

Sergey M. Zagorodnyuk

For every system ${p_{n} (z)}_{n = 0}^{\infty}$ of OPRL or OPUC, we construct Sobolev orthogonal polynomials $y_{n} (z)$ , with explicit integral representations involving $p_{n}$ . Two conc…

math.CA2020★ 1 cited

On modified kernel polynomials and classical type Sobolev orthogonal polynomials

Sergey M. Zagorodnyuk

In this paper we study modified kernel polynomials: $u_{n} (x) = \sum_{k = 0}^{n} c_{k} g_{k} (x)$ , depending on parameters $c_{k} > 0$ , where ${g_{k}}_{0}^{\infty}$ are orthonormal polynomials on t…

math.CA2020

On a family of hypergeometric Sobolev orthogonal polynomials on the unit circle

Sergey M. Zagorodnyuk

In this paper we study the following family of hypergeometric polynomials: $y_{n} (x) = \frac{( - 1 ) ^{ρ}}{n !} x^{n}_{2} F_{0} (- n, ρ; -; - \frac{1}{x})$ , depending on a parameter $ρ\in\mathbb{…