Jacobi Matrix Pair and Dual Alternative <Emphasis Type="Italic">q</Emphasis>-Charlier Polynomials |
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| Authors: | N M Atakishiyev A U Klimyk |
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| Institution: | (1) Instituto de Matematicas, UNAM, Mexico, D.F., Mexico;(2) Institute for Theoretical Physics, Ukrainian Academy of Sciences, Kyiv, Ukraine |
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| 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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