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Colloquium: Dr. Howard S. Cohl
September 20, 2019 @ 2:00 pm - 3:30 pmFree
The Askey-Wilson Polynomials, their Symmetric Sub-Families and q-Inverse Properties
Dr. Howard S. Cohl
National Institute of Standards and Technology
“We give a more precise symmetric parametric description for various properties of the Askey-Wilson polynomials including hypergeometric and q-integral representations. We study the symmetric q-inverse sub-families of the Askey-Wilson polynomials. We also study the continuous q-inverse ultraspherical/q-inverse Rogers polynomials. We examine basic hypergeometric representation and transformation formulae, limit transitions, connection relations, and generating functions and corresponding q-integrals for these families. We have also focused on the q-inverse generating function for continuous q-inverse ultraspherical polynomials. This generating function has the intriguing property in that it is able to cross the natural boundary at q=1. Using this generating function, we compute a q-inverse analogue of the Ismail-Simeonov expansion for the continuous q-inverse ultraspherical polynomial generating function. This leads to a new terminating quadratic transformation for basic hypergeometric functions.”
Light refreshments will be served @ 1:30pm in EMS E424A.