On (p,q)-Rogers-Szegö matrices

Year 2020, Volume: 10 Issue: 1, 285 - 294, 25.06.2020

Adem Şahin

https://doi.org/10.37094/adyujsci.518782

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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