FOURIER-GAUSS TRANSFORMS OF THE AL-SALAM-CHIHARA POLYNOMIALS

Citation
Mk. Atakishiyeva et Nm. Atakishiyev, FOURIER-GAUSS TRANSFORMS OF THE AL-SALAM-CHIHARA POLYNOMIALS, Journal of physics. A, mathematical and general, 30(19), 1997, pp. 655-661
Citations number
27
Categorie Soggetti
Physics,"Physycs, Mathematical
ISSN journal
03054470
Volume
30
Issue
19
Year of publication
1997
Pages
655 - 661
Database
ISI
SICI code
0305-4470(1997)30:19<655:FTOTAP>2.0.ZU;2-J
Abstract
We discuss classical Fourier-Gauss transforms of a three-parameter fam ily of the continuous Al-Salam-Chihara polynomials p(n)(x;a,b\q). It i s shown that they are related to both the continuous big q-Hermite p(n )(x;a, 0\q) and the q-Hermite p(n)(x;0, 0\q) polynomials.