Open AccessDp,q-classical orthogonal polynomials: An algebraic approach
Author(s) -
M. Sghaier,
Mohamed Zaatra,
M. Mechri
Publication year - 2021
Publication title -
filomat
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.449
H-Index - 34
eISSN - 2406-0933
pISSN - 0354-5180
DOI - 10.2298/fil2106823s
Subject(s) - mathematics , orthogonal polynomials , algebraic number , discrete orthogonal polynomials , operator (biology) , algebra over a field , classical orthogonal polynomials , pure mathematics , discrete mathematics , mathematical analysis , biochemistry , chemistry , repressor , transcription factor , gene
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.