1 citations · 1 across the 8 of their papers we have counts for
4 papers · 1 filter
Bilateral -ultraspherical functions
Michael J. Schlosser
We introduce the bilateral -ultraspherical functions, a bilateral-series extension of the continuous -ultraspherical polynomials. They are defined by specific bilateral basic…
Transformations and summations for bilateral basic hypergeometric series
Howard S. Cohl, Michael J. Schlosser
We review and derive transformation and summation formulas for bilateral basic hypergeometric series. Our study focuses on consequences of certain bilateral extensions of two impor…
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…
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…