A characterization of the Rogers q-hermite polynomials
In this paper we characterize the Rogers q-Hermite polynomials as the only orthogonal polynomial set which is also 𝒟q-Appell where 𝒟q is the Askey-Wilson finite difference operator.
Saved in:
Main Author: | Waleed A. Al-Salam |
---|---|
Format: | Article |
Language: | English |
Published: |
Wiley
1995-01-01
|
Series: | International Journal of Mathematics and Mathematical Sciences |
Subjects: | |
Online Access: | http://dx.doi.org/10.1155/S0161171295000810 |
Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
Similar Items
-
Some formulas of L. Carlitz on Hermite polynomials
by: S. K. Chatterjea, et al.
Published: (1991-01-01) -
On Saigo Fractional $q$-Calculus of a General Class of $q$-Polynomials
by: Biniyam Shimelis, et al.
Published: (2024-03-01) -
Remarks on orthogonal polynomials with respect to varying measures and related problems
by: Xin Li
Published: (1993-01-01) -
Some generating functions of modified Bessel polynomials from the
view point of Lie group
by: Asit Kumar Chongdar
Published: (1984-01-01) -
An example of nonsymmetric semi-classical form of class s=1; generalization of a case of Jacobi sequence
by: Mohamed Jalel Atia
Published: (2000-01-01)