The Leonard triples with quantum parameter being not a unit root

DOI10.1080/03081087.2015.1024197zbMath1361.15002OpenAlexW2021371663MaRDI QIDQ3455704

Bo Hou, Sha Chang, Suo-gang Gao

Publication date: 11 December 2015

Published in: Linear and Multilinear Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/03081087.2015.1024197

zbMATH Keywords

linear transformationsLeonard pairLeonard tripleAskey-Wilson relationquantum parameter\(q\)-Racah type

Mathematics Subject Classification ID

Basic orthogonal polynomials and functions (Askey-Wilson polynomials, etc.) (33D45) Linear transformations, semilinear transformations (15A04)

Related Items (2)

Unnamed Item ⋮ Leonard triples of \(q\)-Racah type and their pseudo intertwiners

Cites Work

• Unnamed Item
• The Leonard triples having classical type
• The classification of Leonard triples of QRacah type
• Linear transformations that are tridiagonal with respect to both eigenbases of a Leonard pair
• Modular Leonard triples
• Two linear transformations each tridiagonal with respect to an eigenbasis of the other; comments on the parameter array
• Leonard pairs having LB-TD form
• Spin Leonard pairs
• The classification of Leonard triples that have Bannai/Ito type and odd diameter
• The classification of Leonard triples of Racah type
• Two linear transformations each tridiagonal with respect to an eigenbasis of the other; the TD-D canonical form and the LB-UB canonical form
• The Classification of Leonard Triples of Bannai/Ito Type with Even Diameters
• Leonard triples of Krawtchouk type
• Affine transformations of a Leonard pair
• LEONARD PAIRS AND THE ASKEY–WILSON RELATIONS
• Totally bipartite/abipartite Leonard pairs and Leonard triples of Bannai/ito type
• Two linear transformations each tridiagonal with respect to an eigenbasis of the other

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