RECURRENCE RELATIONS FOR CONNECTION COEFFICIENTS BETWEEN Q-ORTHOGONALPOLYNOMIALS OF DISCRETE VARIABLES IN THE NONUNIFORM LATTICE X(S)=Q(2S)

Citation
R. Alvareznodarse et A. Ronveaux, RECURRENCE RELATIONS FOR CONNECTION COEFFICIENTS BETWEEN Q-ORTHOGONALPOLYNOMIALS OF DISCRETE VARIABLES IN THE NONUNIFORM LATTICE X(S)=Q(2S), Journal of physics. A, mathematical and general, 29(22), 1996, pp. 7165-7175
Citations number
21
Categorie Soggetti
Physics
ISSN journal
03054470
Volume
29
Issue
22
Year of publication
1996
Pages
7165 - 7175
Database
ISI
SICI code
0305-4470(1996)29:22<7165:RRFCCB>2.0.ZU;2-8
Abstract
We obtain the structure relations for q-orthogonal polynomials in the exponential lattice q(2s) and from these we construct the recurrence r elation for the connection coefficients between two families of polyno mials belonging to the classical class of discrete q-orthogonal polyno mials. An explicit example is also given.