Krawtchouk Polynomials, a Unification of Two Different Group Theoretic Interpretations

• Published in: SIAM journal on mathematical analysis Vol. 13; no. 6; pp. 1011 - 1023
• Main Author: Koornwinder, Tom H.
• Format: Journal Article
• Language: English
• Published: Philadelphia Society for Industrial and Applied Mathematics 01.11.1982
• Subjects: Polynomials

The canonical matrix elements of irreducible unitary representations of $SU(2)$ are written as Krawtchouk polynomials, with the orthogonality being the row orthogonality for the unitary representation matrix. Dunkl's interpretation of Krawtchouk polynomials as spherical functions on wreath prod...