Second structure relation for \(q\)-semiclassical polynomials of the Hahn Tableau. (English) Zbl 1113.33022

Only the first structure theorem for the \(q\)-semiclassical orthogonal polynomials exists. The authors propose a second structure relation. In doing so, the interplay of a general finite-type relation between a \(q\)-classical polynomial and the sequence of its \(q\)-differences is exploited.


33D99 Basic hypergeometric functions
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