D p,q -classical orthogonal polynomials: an algebraic approach
Filomat, Tome 35 (2021) no. 6, p. 1823
Voir la notice de l'article provenant de la source eLibrary of Mathematical Institute of the Serbian Academy of Sciences and Arts
In this paper, we introduce a new technical method for the study of the D p,q-classical orthogonal polynomials where D p,q is the (p, q)-difference operator, using basically an algebraic approach. Some new characterizations are given. The approach has been illustrated with three examples.
Classification :
33C45, 42C05
Keywords: Orthogonal polynomials, (p, q)-difference operator, (p, q)-classical polynomial, Rodrigues formula, Recurrence relation
Keywords: Orthogonal polynomials, (p, q)-difference operator, (p, q)-classical polynomial, Rodrigues formula, Recurrence relation
Mabrouk Sghaier; Mohamed Zaatra; Mehdi Mechri. D p,q -classical orthogonal polynomials: an algebraic approach. Filomat, Tome 35 (2021) no. 6, p. 1823 . doi: 10.2298/FIL2106823S
@article{10_2298_FIL2106823S,
author = {Mabrouk Sghaier and Mohamed Zaatra and Mehdi Mechri},
title = {D p,q -classical orthogonal polynomials: an algebraic approach},
journal = {Filomat},
pages = {1823 },
year = {2021},
volume = {35},
number = {6},
doi = {10.2298/FIL2106823S},
language = {en},
url = {http://geodesic.mathdoc.fr/articles/10.2298/FIL2106823S/}
}
TY - JOUR AU - Mabrouk Sghaier AU - Mohamed Zaatra AU - Mehdi Mechri TI - D p,q -classical orthogonal polynomials: an algebraic approach JO - Filomat PY - 2021 SP - 1823 VL - 35 IS - 6 UR - http://geodesic.mathdoc.fr/articles/10.2298/FIL2106823S/ DO - 10.2298/FIL2106823S LA - en ID - 10_2298_FIL2106823S ER -
Cité par Sources :