On (p,q)-Rogers-Szegö matrices
Authors : Adem Şahin
Pages : 285-294
Doi:10.37094/adyujsci.518782
View : 21 | Download : 10
Publication Date : 2020-06-25
Article Type : Research
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