The Algebra of Differential Operators for a Matrix Weight: An Ultraspherical Example

DOI10.1093/IMRN/RNW104zbMath1405.16033arXiv1505.03321OpenAlexW2902660809MaRDI QIDQ4611938

Ignacio Nahuel Zurrián

Publication date: 22 January 2019

Published in: International Mathematics Research Notices (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1505.03321

zbMATH Keywords

affine algebrasecond-order operatorsmatrix weight of Gegenbauer type

Mathematics Subject Classification ID

Basic orthogonal polynomials and functions (Askey-Wilson polynomials, etc.) (33D45) Rings of differential operators (associative algebraic aspects) (16S32)

Related Items (4)

The matrix Bochner problem ⋮ Matrix bispectrality and noncommutative algebras: beyond the prolate spheroidals ⋮ \(2 \times 2\) hypergeometric operators with diagonal eigenvalues ⋮ Structural formulas for matrix-valued orthogonal polynomials related to \(2\times 2\) hypergeometric operators

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