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2025-02-23T03:37:12-05:00 DEBUG: VuFindSearch\Backend\Solr\Connector: => GET http://localhost:8983/solr/biblio/select?fl=%2A&wt=json&json.nl=arrarr&q=id%3A%22irk-123456789-165733%22&qt=morelikethis&rows=5
2025-02-23T03:37:12-05:00 DEBUG: VuFindSearch\Backend\Solr\Connector: <= 200 OK
2025-02-23T03:37:12-05:00 DEBUG: Deserialized SOLR response

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
Main Authors: Atakishiyev, N.M., Klimyk, A.U.
Format: Article
Language:English
Published: Інститут математики НАН України 2005
Series:Український математичний журнал
Subjects:
Online Access:http://dspace.nbuv.gov.ua/handle/123456789/165733
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Description
Summary: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.