On (p,q)-Rogers-Szegö matrices

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Adıyaman Üniversitesi Fen Bilimleri Dergisi
Volume:10 Issue:1
On (p,q)-Rogers-Szegö matrices

On (p,q)-Rogers-Szegö matrices

Pages : 285-294

View : 67 | Download : 13

Publication Date : 2020-06-25

Article Type : Research Paper

Abstract : In the present article, we have discussed the (p,q)-numbers, the Rogers-Szegő polynomial and the (p,q)-Rogers-Szegő polynomial and have defined the (p,q)-matrices and the (p,q)-Rogers-Szegő matrices. We have presented some algebraic properties of these matrices and have proved them. In particular, we have obtained the factorization of these matrices, their inverse matrices, as well as the matrix representations of the (p,q)-numbers, the Rogers-Szegő polynomials and the (p,q)-Rogers-Szegő polynomials.
Keywords : pq analogue, pq Rogers Szegö Polynomials, pq Rogers Szegö matrix

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