Extended homogeneous bivariate orthogonal polynomials: symbolic and numerical Gaussian cubature formula

J. Abouir, Brahim Benouahmane

Type: Article

Publication Date: 2024-01-27

Citations: 0

DOI: https://doi.org/10.1007/s11075-024-01761-8

View Publication

Locations

Numerical Algorithms - View

Similar Works

Action	Title	Year	Authors
+	A class of bivariate orthogonal polynomials and cubature formula	1994	Yuan Xu
+	Multivariate generalized Bernstein polynomials: identities for orthogonal polynomials of two variables	2008	Stanisław Lewanowicz Paweł Woźny Iván Area E. Godoy
+	Orthogonal Laurent Polynomials and Gaussian Quadrature	1981	William B. Jones W. J. Thron
+	Nonnegative trigonometric polynomials in many variables and cubature formulas of Gaussian type	1991	А. В. Резцов
+	Construction of σ-orthogonal polynomials and gaussian quadrature formulas	2007	Ying Shi Guoliang Xu
+	Polynomial Schauder basis with generalized Chebyshev orthogonality	2003	R. Khabiboulline
+	Cubature formulae and orthogonal polynomials	1970	I.P. Mysovskikh
+	Cubature formulae and orthogonal polynomials	2001	Ronald Cools I.P. Mysovskikh Hans Schmid
+ PDF Chat	Gaussian Cubature and Bivariate Polynomial Interpolation	1992	Yuan Xu
+ PDF Chat	Gaussian cubature and bivariate polynomial interpolation	1992	Yuan Xu
+	Orthogonal polynomials and numerical methods	1992	Giovanni Monegato
+	OPERATIONAL DERIVATION OF GENERATING RELATIONS OF ORTHOGONAL POLYNOMIALS RELATED TO ULTRASPHERICAL AND HERMITE POLYNOMIALS	2015	Saqib Hussain
+	Mini-Workshop: Multivariate Orthogonal Polynomials: New synergies with Numerical Analysis	2024	Annie Cuyt Jens Markus Melenk Stefan Sauter Yuan Xu
+	Numerical analysis and orthogonal polynomials	1976	D. Kolb
+	Orthogonal polynomials: Theory and practice	1991
+	GENERALIZATION OF ORTHOGONAL POLYNOMIALS	1989	Zeng‐Xia Zhao
+	Orthogonal Functions and Polynomials (Cont’d.)	2008	Ravi P. Agarwal Donal O’Regan
+	Generalized product formula for orthogonal polynomials	1995	Б. П. Осиленкер
+	Approximants of exponential type general orthogonal polynomials	1981	André Draux
+	Generalized Hall-Littlewood symmetric functions and orthogonal polynomials	1992	S. V. Kerov

Works That Cite This (0)

Action	Title	Year	Authors

Works Cited by This (11)

Action	Title	Year	Authors
+	Orthogonality and Recursion Formulas for Polynomials in <i>n</i> Variables	1982	Marek A. Kowalski
+ PDF Chat	Strong Stieltjes distributions and orthogonal Laurent polynomials with applications to quadratures and Padé approximation	2005	Carlos Díaz Mendoza Pablo González-Vera M. Jiménez-Paiz
+	Padé-Type Approximation and General Orthogonal Polynomials	1980	Claude Brezinski
+	How well can the concept of Padé approximant be generalized to the multivariate case?	1999	Annie Cuyt
+	On the Convergence of Quadrature Formulas Connected with Multipoint Padé-Type Approximation	1996	Pablo González-Vera M. Jiménez Paiz R. Orive G. López Lagomasino
+	Properties of Multivariate Homogeneous Orthogonal Polynomials	2001	Brahim Benouahmane Annie Cuyt
+	Constructing cubature formulae: the science behind the art	1997	Ronald Cools
+	None	2000	Brahim Benouahmane Annie Cuyt
+ PDF Chat	Multivariate homogeneous two-point Padé approximants and continued fractions	2019	Yassine Chakir J. Abouir Brahim Benouahmane
+ PDF Chat	Cubature formulae for the Gaussian weight. Some old and new rules.	2020	R. Orive J.C. Santos-León Miodrag M. Spalević