On a family of bivariate orthogonal functions

DOI10.1007/s13370-023-01147-4OpenAlexW4389399295MaRDI QIDQ6179379

Esra Güldoğan Lekesiz

Publication date: 16 January 2024

Published in: Afrika Matematika (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s13370-023-01147-4

zbMATH Keywords

generating functionsrecurrence relationJacobi polynomialspartial differential equationLaguerre polynomialsparameter derivativelimit relationbivariate orthogonal functions

Mathematics Subject Classification ID

Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.) (33C45)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Representations for parameter derivatives of some Koornwinder polynomials in two variables
• On Koornwinder classical orthogonal polynomials in two variables
• Classical orthogonal polynomials: Dependence of parameters
• Classical orthogonal polynomials in two variables: a matrix approach
• A new family of orthogonal polynomials in three variables
• On finite classes of two-variable orthogonal polynomials
• On bivariate classical orthogonal polynomials
• Fourier transforms of some special functions in terms of orthogonal polynomials on the simplex and continuous Hahn polynomials
• Interpolation Processes
• Hypergeometric Orthogonal Polynomials and Their q-Analogues
• On the Theory of Biorthogonal Polynomials
• Some multivariable orthogonal polynomials of the Askey tableau—Continuous families
• Some multivariable orthogonal polynomials of the Askey tableau-discrete families
• Eine Klasse isotroper Turbulenzfelder mit Permanenzeigenschaft und existenten Tripelkorrelationen
• Some limit relationships between some two-variable finite and infinite sequences of orthogonal polynomials

This page was built for publication: On a family of bivariate orthogonal functions