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math.CA2024
A family of orthogonal functions on the unit circle and a new multilateral matrix inverse
Michael J. Schlosser
Using Bailey's very-well-poised summation, we show that a specific sequence of well-poised bilateral basic hypergeometric series form a family of orthogonal functio…
math.CA2024
Product formulas for basic hypergeometric series by evaluations of Askey--Wilson polynomials
Howard Cohl, Michael Schlosser
Ismail and Wilson derived a generating function for Askey--Wilson polynomials which is given by a product of -Gauss (Heine) nonterminating basic hypergeometric functions. We pro…
math.CO2024
Determinant evaluations inspired by Di Francesco's determinant for twenty-vertex configurations
Christoph Koutschan, Christian Krattenthaler, Michael Schlosser
In his work on the twenty vertex model, Di Francesco [Electron. J. Combin. 28(4) (2021), Paper No. 4.38] found a determinant formula for the number of configurations in a specific…