Abstract
By using two operators representable by Jacobi matrices, we introduce a family of q-orthogonal polynomials, which turn out to be dual with respect to alternative q-Charlier polynomials. A discrete orthogonality relation and the completeness property for these polynomials are established.
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Published in Ukrains'kyi Matematychnyi Zhurnal, Vol. 57, No. 5, pp. 614–621, May, 2005.
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Atakishiyev, N.M., Klimyk, A.U. Jacobi Matrix Pair and Dual Alternative q-Charlier Polynomials. Ukr Math J 57, 728–737 (2005). https://doi.org/10.1007/s11253-005-0223-6
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DOI: https://doi.org/10.1007/s11253-005-0223-6