Jump to content

Askey–Wilson polynomials

From Wikipedia, the free encyclopedia

This is an old revision of this page, as edited by R.e.b. (talk | contribs) at 23:42, 2 October 2008 (ref). The present address (URL) is a permanent link to this revision, which may differ significantly from the current revision.

In mathematics, the Askey-Wilson polynomials are the polynomials

where φ is a basic hypergeometric function.

They were introduced by Askey & Wilson (1985) as q-analogues of the 4F3 polynomials of Wilson.

References

Askey, Richard; Wilson, James (1985), "Some basic hypergeometric orthogonal polynomials that generalize Jacobi polynomials", Memoirs of the American Mathematical Society, 54 (319): iv+55, ISBN 978-0-8218-2321-7, ISSN 0065-9266, MR783216