The Symmetrical H_q-Semiclassical Orthogonal Polynomials of Class One
We investigate the quadratic decomposition and duality to classify symmetrical H_q-semiclassical orthogonal q-polynomials of class one where H_q is the Hahn's operator. For any canonical situation, the recurrence coefficients, the q-analog of the distributional equation of Pearson type, the mom...
Main Authors: | Abdallah Ghressi, Lotfi Khériji |
---|---|
Format: | Article |
Language: | English |
Published: |
National Academy of Science of Ukraine
2009-07-01
|
Series: | Symmetry, Integrability and Geometry: Methods and Applications |
Subjects: | |
Online Access: | http://dx.doi.org/10.3842/SIGMA.2009.076 |
Similar Items
-
Comparative asymptotics for discrete semiclassical orthogonal polynomials
by: Diego Dominici
Published: (2023-04-01) -
𝑞-CHEBYSHEV POLYNOMIALS AND THEIR 𝑞-CLASSICAL CHARACTERS
by: M. Mejri
Published: (2021-12-01) -
On the Orthogonality of q-Classical Polynomials of the Hahn Class
by: Renato Álvarez-Nodarse, et al.
Published: (2012-07-01) -
Symmetric $*$-polynomials on $\mathbb C^n$
by: T.V. Vasylyshyn
Published: (2018-12-01) -
Orthogonal polynomials related to the unit circle and differential-difference equations
by: A. Cachafeiro, et al.
Published: (1997-01-01)