Fourth order partial differential equations for Krall-type orthogonal polynomials on the triangle

DOI10.1090/proc/14052zbMath1400.33021OpenAlexW2776116471MaRDI QIDQ4577170

Lidia Fernández, Antonia M. Delgado, Teresa E. Pérez

Publication date: 17 July 2018

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/proc/14052

zbMATH Keywords

fourth order partial differential equationslow dimensional Krall-type modificationorthogonal polynomials on the triangle

Mathematics Subject Classification ID

Orthogonal functions and polynomials, general theory of nontrigonometric harmonic analysis (42C05) Orthogonal polynomials and functions in several variables expressible in terms of special functions in one variable (33C50)

Related Items (2)

Quasi-birth-and-death processes and multivariate orthogonal polynomials ⋮ Three term relations for multivariate Uvarov orthogonal polynomials

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Orthogonal polynomials on the unit ball and fourth-order partial differential equations
• Multivariate orthogonal polynomials and modified moment functionals
• On the Uvarov modification of two variable orthogonal polynomials on the disk
• Krall-Jacobi commutative algebras of partial differential operators
• Krall-type orthogonal polynomials in several variables
• A method of constructing Krall's polynomials
• Modifications of quasi-definite linear functionals via addition of delta and derivatives of delta Dirac functions.
• Orthogonal polynomials in several variables for measures with mass points
• Orthogonal polynomials in two variables
• THE KRALL POLYNOMIALS: A NEW CLASS OF ORTHOGONAL POLYNOMIALS
• Orthogonal polynomials satisfying fourth order differential equations
• Orthogonal Polynomials With Weight Function (1 - x)^α( l + x)^β + Mδ(x + 1) + Nδ(x - 1)
• Orthogonal Polynomials of Several Variables
• Differential equations for generalized Jacobi polynomials

This page was built for publication: Fourth order partial differential equations for Krall-type orthogonal polynomials on the triangle