Pascal k-eliminated functional matrix and its property Original Research Article

In this paper we shall first define the Pascal k-eliminated functional matrix for two variables, over an arbitrary field image [1–8]. Then, using the previous results, we obtain several interesting combinatorial identities. We also investigate the relationship between these matrices and Cesàro matrices [9]. Finally, we give an affirmative answer to an open problem raised in [1] for minimal polynomial of Pascal k-eliminated functional matrix over the field image.