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We investigate the asymptotic zero distribution of Heine-Stieltjes polynomials–polynomial
solutions of second order differential equations with complex polynomial coefficients. In the …

We analyze domino tilings of the two-periodic Aztec diamond by means of matrix valued
orthogonal polynomials that we obtain from a reformulation of the Aztec diamond as a non …

In this paper we study the orthogonality conditions satisfied by Jacobi polynomials $
P_n^{(\alpha,\beta)} $ when the parameters $\alpha $ and $\beta $ are not necessarily $> …

Curves in the complex plane that satisfy the S-property were first introduced by Stahl and
they were further studied by Gonchar and Rakhmanov in the 1980s. Rakhmanov recently …

АИАптекарев, ВИБуслаев, А. Мартинес-Финкельштейн, СПСуетин, “Аппроксимации
Паде, непрерывные дроби и ортогональные многочлены”, УМН, 66:6(402) (2011), 37–122; …

In this paper we study the asymptotic behavior of a family of polynomials which are
orthogonal with respect to an exponential weight on certain contours of the complex plane …

We study a one-parameter family of probability measures on lozenge tilings of large regular
hexagons that interpolates between the uniform measure on all possible tilings and a …

The primary aim of this paper is to investigate the asymptotic distribution of the zeros of
certain classes of hypergeometric q+ 1 F q polynomials. We employ classical analytical …

Recently, Brezinski has proposed to use Wynn's ε-algorithm in order to reduce the Gibbs
phenomenon for partial Fourier sums of smooth functions with jumps, by displaying very …