Partial differential equations satisfied by polynomials which have a product formula.

DOI10.1216/rmjm/1030539689zbMath1042.35041OpenAlexW2056485645MaRDI QIDQ1415039

William C. Connett, Alan L. Schwartz

Publication date: 3 December 2003

Published in: Rocky Mountain Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: http://math.la.asu.edu/~rmmc/rmj/Vol32-2/CONT32-2/CONT32-2.html

zbMATH Keywords

eigenfunctionshypergroupsbivariate polynomialsproduct formula

Mathematics Subject Classification ID

Spectral theory and eigenvalue problems for partial differential equations (35P99) General theory of partial differential operators (47F05) Harmonic analysis on hypergroups (43A62) Algebras of specific types of operators (Toeplitz, integral, pseudodifferential, etc.) (47L80)

Related Items

Tridiagonal operators and zeros of polynomials in two variables

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Differential equations having orthogonal polynomial solutions
• Product formulas and associated hypergroups for orthogonal polynomials on the simplex and on a parabolic biangle
• Subsets of \(\mathbb{R}\) which support hypergroups with polynomial characters
• Partial differential equations and bivariate orthogonal polynomials
• Differential equations of infinite order for orthogonal polynomials
• Orthogonal polynomials in two variables
• Banach algebras for Jacobi series and positivity of a kernel
• Sidon sets and Riesz sets for some measure algebras on the disk
• Analysis of a Class of Probability Preserving Measure Algebras on Compact Intervals
• Applications of Hypergroups and Related Measure Algebras
• Harmonic analysis on compact commutative hypergroups: The role of the maximum subgroup