2017
Том 69
№ 7

All Issues

Jacobi Matrix Pair and Dual Alternative q-Charlier Polynomials

Atakishiyev N. M., Klimyk A. U.

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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.

English version (Springer): Ukrainian Mathematical Journal 57 (2005), no. 5, pp 728-737.

Citation Example: Atakishiyev N. M., Klimyk A. U. Jacobi Matrix Pair and Dual Alternative q-Charlier Polynomials // Ukr. Mat. Zh. - 2005. - 57, № 5. - pp. 614–621.

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