[HTML][HTML] Seismic Image Identification and Detection Based on Tchebichef Moment Invariant

A Lu, B Honarvar Shakibaei Asli - Electronics, 2023 - mdpi.com
The research focuses on the analysis of seismic data, specifically targeting the detection,
edge segmentation, and classification of seismic images. These processes are fundamental …

Critical measures, quadratic differentials, and weak limits of zeros of Stieltjes polynomials

A Martínez-Finkelshtein, EA Rakhmanov - … in mathematical physics, 2011 - Springer
We investigate the asymptotic zero distribution of Heine-Stieltjes polynomials–polynomial
solutions of second order differential equations with complex polynomial coefficients. In the …

The two-periodic Aztec diamond and matrix valued orthogonal polynomials

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 …

Padé approximants for functions with branch points—strong asymptotics of Nuttall–Stahl polynomials

AI Aptekarev, ML Yattselev - 2015 - projecteuclid.org
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 …

Orthogonality of Jacobi polynomials with general parameters

ABJ Kuijlaars, A Martínez-Finkelshtein… - arXiv preprint math …, 2003 - arxiv.org
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 $> …

Real roots of hypergeometric polynomials via finite free convolution

A Martínez-Finkelshtein, R Morales… - International …, 2024 - academic.oup.com
We examine two binary operations on the set of algebraic polynomials, known as
multiplicative and additive finite free convolutions, specifically in the context of …

High-order asymptotic expansions of Gaussian quadrature rules with classical and generalized weight functions

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 …

Painlevé I asymptotics for orthogonal polynomials with respect to a varying quartic weight

M Duits, ABJ Kuijlaars - Nonlinearity, 2006 - iopscience.iop.org
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 …

Riemann–Hilbert analysis for Jacobi polynomials orthogonal on a single contour

A Martínez-Finkelshtein, R Orive - Journal of Approximation Theory, 2005 - Elsevier
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 …

Image reconstruction from continuous Gaussian–Hermite moments implemented by discrete algorithm

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 …