Event Details
Título: Basic hypergeometric transformations from symmetric and q-inverse sub-families of the Askey-Wilson polynomials in the q-Askey scheme
Conferenciante: Roberto Costas (Universidad de Alcalá)
Abstract: 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.
31 de enero de 2020, 12:30, Seminario de la 1º planta del IEMath-GR
Conferenciante: Roberto Costas (Universidad de Alcalá)
Abstract: 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.
31 de enero de 2020, 12:30, Seminario de la 1º planta del IEMath-GR
