scholarly journals Dp,q-classical orthogonal polynomials: An algebraic approach

Filomat ◽  
2021 ◽  
Vol 35 (6) ◽  
pp. 1823-1839
Author(s):  
Mabrouk Sghaier ◽  
Mohamed Zaatra ◽  
Mehdi Mechri
Keyword(s):  
Orthogonal Polynomials ◽  
Difference Operator ◽  
Algebraic Approach ◽  
Classical Orthogonal Polynomials

In this paper, we introduce a new technical method for the study of the Dp,q-classical orthogonal polynomials where Dp,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.

scholarly journals On Koornwinder classical orthogonal polynomials in two variables

2012 ◽  
Vol 236 (15) ◽  
pp. 3817-3826 ◽  
Author(s):  
Lidia Fernández ◽  
Teresa E. Pérez ◽  
Miguel A. Piñar
Keyword(s):  
Orthogonal Polynomials ◽  
Classical Orthogonal Polynomials

scholarly journals Zeros of classical orthogonal polynomials of a discrete variable

2012 ◽  
Vol 82 (282) ◽  
pp. 1069-1095 ◽  
Author(s):  
Iván Area ◽  
Dimitar K. Dimitrov ◽  
Eduardo Godoy ◽  
Vanessa G. Paschoa
Keyword(s):  
Orthogonal Polynomials ◽  
Discrete Variable ◽  
Classical Orthogonal Polynomials
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