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On the q-Konhauser biorthogonal polynomials. (English) Zbl 0621.33016

The authors take up the polynomials \(Y_ n^{(\alpha)}(x,k/q)\) which form one set of q-Konhauser biorthogonal polynomials. The author provide an interesting operational representation for these polynomials by using a q-binomial theorem and the operational relation: \((x^{k+1}\delta)^ nx^{\alpha}=(q^{\alpha};q^ k)_ nx^{\alpha +nk}\).
Reviewer: A.N.Srivastava

MSC:

33C45 Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.)
33B15 Gamma, beta and polygamma functions
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