Abstract
Special cases of the Askey-Wilson polynomials are the eigenmatrices of the classical association schemes. Three constructions on the schemes - multiple polynomial structures, bipartite halves, and antipodal quotients - give quadratic transformations for the polynomials. It is shown that these transformations essentially follow from a quadratic transformation for the Askey-Wilson polynomials. Explicit formulas for the eigenmatrices of three related association schemes are given.
| Original language | English (US) |
|---|---|
| Pages (from-to) | 101-112 |
| Number of pages | 12 |
| Journal | Graphs and Combinatorics |
| Volume | 2 |
| Issue number | 1 |
| DOIs | |
| State | Published - Dec 1986 |