Wilson Polynomial

The orthogonal polynomials defined variously by

(1)

(Koekoek and Swarttouw 1998, p. 24) or

			(2)
			(3)

(Koepf, p. 116, 1998).

The first few are

			(4)
			(5)

The Wilson polynomials obey the identity

(6)

REFERENCES:

Koekoek, R. and Swarttouw, R. F. "Wilson." §1.1 in The Askey-Scheme of Hypergeometric Orthogonal Polynomials and its -Analogue. Delft, Netherlands: Technische Universiteit Delft, Faculty of Technical Mathematics and Informatics Report 98-17, pp. 24-26, 1998.

Koepf, W. Hypergeometric Summation: An Algorithmic Approach to Summation and Special Function Identities. Braunschweig, Germany: Vieweg, p. 116, 1998.

Wilson, J. A. "Some Hypergeometric Orthogonal Polynomials." SIAM J. Math. Anal. 11, 690-701, 1980.