TheF-Analogue of Riordan Representation of Pascal Matrices via Fibonomial Coefficients

Abstract

We study an analogue of Riordan representation of Pascal matrices via Fibonomial coefficients. In particular, we establish a relationship between the Riordan array and Fibonomial coefficients, and we show that such Pascal matrices can be represented by anF-Riordan pair.

Some Properties of Generalized Apostol-Type Frobenius–Euler–Fibonacci Polynomials

“…n,F (0, ψ; u; λ). n i,j=0 is the generalized Pascal matrix [23] via Fibonomial coefficients of the first kind is defined by…”

$q$-Riordan array for $q$-Pascal matrix and its inverse matrix

“…Tuglu et al [17] established a relationship between Riordan arrays and Fibonomial coefficients. Associating Riordan arrays to q -binomial coefficients, a new direction of study is initiated.…”