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The factorization method for the Askey–Wilson polynomials

✍ Scribed by Gaspard Bangerezako

Publisher
Elsevier Science
Year
1999
Tongue
English
Weight
136 KB
Volume
107
Category
Article
ISSN
0377-0427

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✦ Synopsis

A special Infeld-Hull factorization is given for the Askey-Wilson second order q-di erence operator. It is then shown how to deduce a generalization of the corresponding Askey-Wilson polynomials.

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The Askey-Wilson function transform is a q-analogue of the Jacobi function transform with kernel given by an explicit non-polynomial eigenfunction of the Askey-Wilson second order q-difference operator. The kernel is called the Askey-Wilson function. In this paper an explicit expansion formula for t