Madhekar, H. C.; Chamle, V. T. On the q-Konhauser biorthogonal polynomials. (English) Zbl 0621.33016 Int. J. Math. Math. Sci. 10, 413-415 (1987). 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 Cited in 1 Document MSC: 33C45 Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.) 33B15 Gamma, beta and polygamma functions Keywords:q-Laguerre polynomials; q-derivative; q-Konhauser biorthogonal polynomials; q-binomial theorem PDFBibTeX XMLCite \textit{H. C. Madhekar} and \textit{V. T. Chamle}, Int. J. Math. Math. Sci. 10, 413--415 (1987; Zbl 0621.33016) Full Text: DOI EuDML