## UvA-DARE ( Digital Academic Repository ) Some remarks on very-well-poised 87 series

- V. STOKMAN Korteweg
- 2018

@article{Stokman2002AnEF, title={An Expansion Formula for the Askey-Wilson Function}, author={Jasper V. Stokman}, journal={Journal of Approximation Theory}, year={2002}, volume={114}, pages={308-342} }

- Published 2002 in Journal of Approximation Theory
DOI:10.1006/jath.2001.3647

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 the Askey-Wilson function in terms of Askey-Wilson polynomials is proven. With this expansion formula at hand, the image under the Askey-Wilson function transform of an Askey-Wilson polynomial… CONTINUE READING