Riordan representation of Pascal matrices via fibonomial coefficients

In this thesis, we study the Riordan representation of Pascal matrices defined byfibonomial coefficients. In particular, we show that such matrices can be writtenin terms of a Riordan pair, and then we obtain the Riordan representations ofthe first and second kinds of the generalized Pascal matrix via fibonomialcoefficients. We also obtain the Riordan representation for the extendedgeneralized Pascal matrix via fibonomial coefficients.In this thesis, we study the Riordan representation of Pascal matrices defined byfibonomial coefficients. In particular, we show that such matrices can be writtenin terms of a Riordan pair, and then we obtain the Riordan representations ofthe first and second kinds of the generalized Pascal matrix via fibonomialcoefficients. We also obtain the Riordan representation for the extendedgeneralized Pascal matrix via fibonomial coefficients.