We consider the lower-triangular matrix of generating polynomials that enumerate k-
component forests of rooted trees on the vertex set [n] according to the number of improper …

Abstract We introduce a Frechet Lie group structure on the Riordan group. We give a
description of the corresponding Lie algebra as a vector space of infinite lower triangular …

The article aims to introduce the q-analogues of well known Bessel polynomials and to study
their important properties. A new recurrence relation and determinant definition for the q …

Using q-Riordan matrices in terms of the Eulerian generating functions we formulate the q-
Sheffer sequences of a new type. This concept may differ from others in the literature …

In this paper, we prove the $ q $-analogue of the fundamental theorem of Riordan arrays. In
particular, by defining two new binary operations $\ast_ {q} $ and $\ast _ {1/q} $, we obtain a …

We extend the pattern of behavior of some special sequences of polynomials, related to the
usual derivative, to a larger context described by Ward in [44]. We also get some …

We consider matrices with entries that are polynomials in $ q $ arising from natural $ q $-
generalisations of two well-known formulas that count: forests on $ n $ vertices with $ k …

In a first part, we are concerned with the relationships between polynomials in the two
generators of the algebra of Heisenberg--Weyl, its Bargmann--Fock representation with …

Recently, the authors developed a q-analogue for Riordan matrices by means of Eulerian
generating functions of the form g (z)=∑ n≥ 0 gnzn/n! q where n! q is the q-factorial. We …

A bibliography on Riordan arrays Page 1 A bibliography on Riordan arrays Renzo Sprugnoli
October 27, 2016 Everybody interested in Riordan arrays can send to the e-mail address …