DISCRETE-TIME VOLTERRA CHAIN AND CLASSICAL ORTHOGONAL POLYNOMIALS

Authors
SPIRIDONOV V ZHEDANOV A
Citation
V. Spiridonov et A. Zhedanov, DISCRETE-TIME VOLTERRA CHAIN AND CLASSICAL ORTHOGONAL POLYNOMIALS, Journal of physics. A, mathematical and general, 30(24), 1997, pp. 8727-8737
Citations number
26
Categorie Soggetti
Physics,"Physycs, Mathematical
Journal title
Journal of physics. A, mathematical and general → ACNP
ISSN journal
03054470
Volume
30
Issue
24
Year of publication
1997
Pages
8727 - 8737
Database
ISI
SICI code
0305-4470(1997)30:24<8727:DVCACO>2.0.ZU;2-F
Abstract
A non-isospectral discrete-time Volterra chain (DTVC) is derived from a set of spectral transformations for symmetric orthogonal polynomials (OF). Such DTVC is a natural finite difference analogue of the well k nown factorization chain for the Schrodinger equation. A class of mero morphic solutions of DTVC is found from an ansatz of semiseparation of variables. The latter yields the very general explicitly known system s of OP-the Askey-Wilson and Askey-Ismail polynomials.