Jacobi Matrix Pair and Dual Alternative q-Charlier Polynomials

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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Bibliographic Details
Date:2005
Main Authors: Atakishiyev, N.M., Klimyk, A.U.
Format: Article
Language:English
Published: Інститут математики НАН України 2005
Series:Український математичний журнал
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Online Access:http://dspace.nbuv.gov.ua/handle/123456789/165733
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Journal Title:Digital Library of Periodicals of National Academy of Sciences of Ukraine
Cite this:Jacobi Matrix Pair and Dual Alternative q-Charlier Polynomials / N.M.Atakishiyev, A.U. Klimyk // Український математичний журнал. — 2005. — Т. 57, № 5. — С. 614–621. — Бібліогр.: 15 назв. — англ.

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Digital Library of Periodicals of National Academy of Sciences of Ukraine