An Algebraic Approach to the Askey Scheme of Orthogonal Polynomials

By Paul M. Terwilliger. 2006

154 citations recorded by the source corpus.

Subfields: Artificial Intelligence, Discrete Mathematics and Combinatorics, Geometry and Topology

View Paper: https://www.semanticscholar.org/paper/b63a291354ae8e2890c65564c0d4c044c7b036a0

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Artificial Intelligence

1. Alexei S. Zhedanov
2. Luc Vinet
3. Plamen Iliev
4. Paul M. Terwilliger

In Discrete Mathematics and Combinatorics

1. Plamen Iliev
2. Alexei S. Zhedanov
3. Luc Vinet
4. Paul M. Terwilliger
5. Tatsuro Ito
6. Raimundas Vidunas

In Geometry and Topology

1. Alexei S. Zhedanov
2. Luc Vinet
3. Plamen Iliev
4. Paul M. Terwilliger
5. Tatsuro Ito
6. 伊藤 達郎

Citations in the corpus

• The Universal Askey-Wilson Algebra (2011, methodology): “It is particularly useful in the theory of Leonard pairs [44, 54, 56, 57, 59, 60] and Leonard triples [19, 20, 40].”
• A Lie-theoretic interpretation of multivariate hypergeometric polynomials (2011, background): “For more information on Leonard pairs see [15].”
• A LIMIT q = −1 FOR THE BIG Q-JACOBI POLYNOMIALS (2012, background): “The polynomials W n ( x ) satisfy the recurrence relation [2], [18] (5.2) where , n odd and (5.4) where s ∗ , r 1 , r 2 are parameters such that (5.5) The polynomials W n ( x ) are not monic.”