We investigate the asymptotic zero distribution of Heine-Stieltjes polynomials–polynomial solutions of second order differential equations with complex polynomial coefficients. In the …
M Duits, ABJ Kuijlaars - Journal of the European Mathematical Society, 2020 - ems.press
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 …
Let f be a germ of an analytic function at infinity that can be analytically continued along any path in the complex plane deprived of a finite set of points, f∈ A (C¯\A),# A<∞. J. Nuttall has …
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 $> …
We examine two binary operations on the set of algebraic polynomials, known as multiplicative and additive finite free convolutions, specifically in the context of …
P Opsomer, D Huybrechs - Journal of Computational and Applied …, 2023 - Elsevier
Gaussian quadrature rules are a classical tool for the numerical approximation of integrals with smooth integrands and positive weight functions. We derive and explicitly list asymptotic …
We study polynomials that are orthogonal with respect to a varying quartic weight exp (− N (x 2/2+ tx 4/4)) for t< 0, where the orthogonality takes place on certain contours in the complex …
Classical Jacobi polynomials Pn (α, β), with α, β>-1, have a number of well-known properties, in particular the location of their zeros in the open interval (-1, 1). This property is …
B Yang, M Dai - Pattern Recognition, 2012 - Elsevier
The problem of image reconstruction from its statistical moments is particularly interesting to researchers in the domain of image processing and pattern recognition. Compared to …