Ukrainian Mathematical Journal

, Volume 57, Issue 5, pp 728–737 | Cite as

Jacobi Matrix Pair and Dual Alternative q-Charlier Polynomials

  • N. M. Atakishiyev
  • A. U. Klimyk


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.


Jacobi Matrix Jacobi Matrice Orthogonality Relation Matrix Pair Completeness Property 
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Copyright information

© Springer Science+Business Media, Inc. 2005

Authors and Affiliations

  • N. M. Atakishiyev
    • 1
  • A. U. Klimyk
    • 2
  1. 1.Instituto de MatematicasUNAMMexico, D.F.Mexico
  2. 2.Institute for Theoretical PhysicsUkrainian Academy of SciencesKyivUkraine

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