An expansion formula for the Askey-Wilson function

Journal of Approximation Theory

Volumn 114, Issue 2, 2002, Pages 308-342

  Stokman, Jasper V ^a  

^a UNIVERSITY OF AMSTERDAM   (Netherlands)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0036190173     PISSN: 00219045     EISSN: None     Source Type: Journal    
DOI: 10.1006/jath.2001.3647     Document Type: Article

References (21)

1. On a general q-Fourier transformation with nonsymmetric kernels
2. Some basic hypergeometric orthogonal polynomials that generalize Jacobi polynomials
3. 2-norm of orthonormal polynomials
4. The Hamburger moment problem and weighted polynomial approximation on discrete subsets of the real line
5. Difference Macdonald-Mehta conjecture
6. One-dimension double Hecke algebras and Gaussians
7. "Basic Hypergeometric Series"
8. The associated Askey-Wilson polynomials
9. Spectral analysis of a q-difference operator which arises from the quantum SU(1, 1), group
10. Fourier transforms on the quantum SU(1, 1) group (with an appendix by M. Rahman)
11. The Askey-Wilson function transform
12. Askey-Wilson polynomials as zonal spherical functions on the SU(2) quantum group
13. Some conjectures for root systems
14. Projection formulas, a reproducing kernel and a generating function for q-Wilson polynomials
15. Macdonald's symmetric polynomials as zonal spherical functions on some quantum homogeneous spaces
16. A generalized hypergeometric function satisfying four analytic difference equations of Askey-Wilson type
17. The theory of difference analogues of special functions of hypergeometric type
18. 7-functions
19. 7-functions that generalize Askey-Wilson polynomials