Abstract
We establish expansion formulas of q-exponential functions in terms of continuous g-ultraspherical polynomials, continuous q-Hermite polynomials and Askey-Wilson polynomials. The proofs are based on solving connection coefficient problems.
| Original language | English (US) |
|---|---|
| Pages (from-to) | 2931-2941 |
| Number of pages | 11 |
| Journal | Proceedings of the American Mathematical Society |
| Volume | 127 |
| Issue number | 10 |
| DOIs | |
| State | Published - 1999 |
Keywords
- Askey-wilson polynomials
- Continuous q-ultraspherical polynomials
- Q-bessel functions
- Q-exponential functions
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