Two-dimensional diffusion orthogonal polynomials ordered by a weighted degree

DOI10.1134/s0016266323030036arXiv2205.04949MaRDI QIDQ6195842

Stepan Yu. Orevkov

Publication date: 14 March 2024

Published in: Functional Analysis and its Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2205.04949

zbMATH Keywords

orthogonal polynomialsdiffusion operator

Mathematics Subject Classification ID

Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.) (33C45) Orthogonal functions and polynomials, general theory of nontrigonometric harmonic analysis (42C05) General theory of partial differential operators (47F05) Operator partial differential equations (= PDEs on finite-dimensional spaces for abstract space valued functions) (35R20)

Cites Work

• Curvature dimension bounds on the deltoid model
• Diffusions with polynomial eigenvectors via finite subgroups of \(O(3)\)
• Diffusion-orthogonal polynomial systems of maximal weighted degree
• Orthogonal polynomials and diffusion operators
• A remark on classical Pluecker's formulae

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