Donatella Merlini and Massimo Nocentini, 2019. Functions and Jordan canonical forms of Riordan matrices. In Linear Algebra and its Applications, vol. 565, pp. 177-207.
Abstract: This paper collects results about Riordan arrays in the framework of matrix functions; actually, the following methodology applies to any square matrix m×m with exactly one eigenvalue λ of algebraic multiplicity m∈N. Generalized Lagrange bases are used to construct Hermite polynomials that interpolate a family of functions; moreover, we show a parallel application of such functions via Jordan canonical forms and case studies are given.