On a symmetric generalization of bivariate Sturm-Liouville problems

DOI10.1007/s41980-021-00605-8OpenAlexW3178054978MaRDI QIDQ2169267

Yves Guemo Tefo, Rabia Aktaş, Esra Güldoğan Lekesiz, IvÁn Area

Publication date: 2 September 2022

Published in: Bulletin of the Iranian Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s41980-021-00605-8

zbMATH Keywords

partial differential equationsbivariate orthogonal polynomialssymmetric orthogonal polynomials

Mathematics Subject Classification ID

Appell, Horn and Lauricella functions (33C65) Orthogonal polynomials and functions in several variables expressible in terms of special functions in one variable (33C50)

Related Items (1)

Quadratic decomposition of bivariate orthogonal polynomials

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Bivariate second-order linear partial differential equations and orthogonal polynomial solutions
• On a class of bivariate second-order linear partial difference equations and their monic orthogonal polynomial solutions
• A basic class of symmetric orthogonal polynomials using the extended Sturm-Liouville theorem for symmetric functions
• Linear partial \(q\)-difference equations on \(q\)-linear lattices and their bivariate \(q\)-orthogonal polynomial solutions
• A basic class of symmetric orthogonal functions with six free parameters
• Minimal recurrence relations for connection coefficients between classical orthogonal polynomials: Continuous case
• A class of symmetric \(q\)-orthogonal polynomials with four free parameters
• On classical orthogonal polynomials
• A basic class of symmetric orthogonal polynomials of a discrete variable
• Bivariate Krawtchouk polynomials: inversion and connection problems with the NAVIMA algorithm
• A basic class of symmetric orthogonal functions using the extended Sturm-Liouville theorem for symmetric functions
• Orthogonal polynomials in two variables
• A symmetric generalization of Sturm–Liouville problems in discrete spaces
• On incomplete symmetric orthogonal polynomials of Laguerre type
• On incomplete symmetric orthogonal polynomials of Jacobi type
• Hypergeometric Multivariate Orthogonal Polynomials
• Multivariable Meixner, Krawtchouk, and Meixner–Pollaczek polynomials
• Hypergeometric Orthogonal Polynomials and Their q-Analogues
• On Sieved Orthogonal Polynomials II: Random Walk Polynomials
• Some multivariable orthogonal polynomials of the Askey tableau—Continuous families
• Some multivariable orthogonal polynomials of the Askey tableau-discrete families
• On some properties of orthogonal polynomials in several variables
• Incomplete symmetric orthogonal polynomials of finite type generated by a generalized Sturm–Liouville theorem
• A generalization of classical symmetric orthogonal functions using a symmetric generalization of Sturm–Liouville problems

This page was built for publication: On a symmetric generalization of bivariate Sturm-Liouville problems