The dual Hahn q-polynomials in the lattice and the q-algebras and

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, , Citation R Álvarez-Nodarse and Yuri F Smirnov 1996 J. Phys. A: Math. Gen. 29 1435 DOI 10.1088/0305-4470/29/7/015

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Author affiliations

1 Departamento de Matemática Aplicada, Escuela Politécnica Superior, Universidad Carlos III de Madrid, Butarque 15, 28911, Leganés, Madrid

2 Instituto de Física, Universidad Nacional Autónoma de México, Apdo Postal 20-364, México 20, DF and Institute of Nuclear Physics, Moscow State University, Moscow 119899, Russia

Dates

  1. Received 30 May 1995

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0305-4470/29/7/1435

Abstract

The dual q-Hahn polynomials in the non-uniform lattice are obtained. The main data for these polynomials are calculated (the square of the norm of the coefficients of the three-term recurrence relation, etc), as well as the lattice representation as a q-hypergeometric series. The connection with the Clebsch - Gordan coefficients of the quantum algebras and is also given.

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