The linear algebra of the generalized Pascal functional matrix Original Research Article

In this paper we generalize Pascalʹs matrix by defining the polynomials “Factorial Binomial”. Then using this generalization, we introduce a two-variable Pascalʹs matrix and state its related theorems and prove them. Finally we introduce Pascalʹs functional matrix associated with a sequence a={an}ngreater-or-equal, slanted0, and obtain several important combinatorial identities.