THE DUAL HAHN Q-POLYNOMIALS IN THE LATTICE X(S)=[S](Q)[S-ALGEBRAS SUQ(2) AND SUQ(1,1)(1](Q) AND THE Q)

Authors
ALVAREZNODARSE R SMIRNOV YF
Citation
R. Alvareznodarse et Yf. Smirnov, THE DUAL HAHN Q-POLYNOMIALS IN THE LATTICE X(S)=[S](Q)[S-ALGEBRAS SUQ(2) AND SUQ(1,1)(1](Q) AND THE Q), Journal of physics. A, mathematical and general, 29(7), 1996, pp. 1435-1451
Citations number
40
Categorie Soggetti
Physics
Journal title
Journal of physics. A, mathematical and general → ACNP
ISSN journal
03054470
Volume
29
Issue
7
Year of publication
1996
Pages
1435 - 1451
Database
ISI
SICI code
0305-4470(1996)29:7<1435:TDHQIT>2.0.ZU;2-I
Abstract
The dual q-Hahn polynomials in the non-uniform lattice x(s) = [s](q)[s + 1](q) are obtained. The main data for these polynomials are calcula ted (the square of the norm of the coefficients of the three-term recu rrence relation, etc), as well as the lattice representation as a q-hy pergeometric series. The connection with the Clebsch-Gordan coefficien ts of the quantum algebras SUq(2) and SUq(1, 1) is also given.