Monomial and Rodrigues orthogonal polynomials on the cone

DOI10.1016/j.jmaa.2022.126977OpenAlexW4313406989MaRDI QIDQ2688691

Rabia Aktaş, Yuan Xu, Ana Foulquié Moreno, Amílcar Branquinho

Publication date: 3 March 2023

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2208.12954

zbMATH Keywords

orthogonal polynomialsRodrigues formulaconesLaguerre and Jacobimonomial polynomials

Mathematics Subject Classification ID

Approximations and expansions (41Axx) Hypergeometric functions (33Cxx) Nontrigonometric harmonic analysis (42Cxx)

Uses Software

• DLMF

Cites Work

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• Two variable extensions of the Laguerre and disc polynomials
• A matrix Rodrigues formula for classical orthogonal polynomials in two variables
• Monomial orthogonal polynomials of several variables
• Laguerre expansions on conic domains
• Recurrence relations for a family of orthogonal polynomials on a triangle
• A new family of orthogonal polynomials in three variables
• Exact \(L_2\) Bernstein-Markov inequality on the ball
• Approximation and localized polynomial frame on conic domains
• Orthogonal polynomials and Fourier orthogonal series on a cone
• Bivariate Polynomials of Least Deviation from Zero
• Rodrigues type formula for orthogonal polynomials on the unit ball
• Orthogonal Polynomials of Several Variables

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