Event: Seminario IEMath-GR
Venue: Universidad de Granada
By starting with known basic hypergeometric representations of the Askey-Wilson polynomials, we derive basic hypergeometric representations for the q-inverse Askey-Wilson polynomials and a set of sub-families for both of these these polynomials.
These sub-families are obtained by repeatedly setting one of the free parameters (not q) equal to zero until no parameters are left. These subfamilies, are the continuous dual q-Hahn, Al-Salam-Chihara, continuous big q-Hermite, the continuous q-Hermite polynomials, and their q-inverse analogues.
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