activity
20162021
most cited-expansion of pseudo-involution in the Riordan group

5 citations · 9 across the 12 of their papers we have counts for

collaborators

12 papers

math.NT2021

Generalized Riordan groups and zero generalized Pascal matrices

E. Burlachenko

The generalized Riordan group consists of infinite lower triangular matrices that correspond to certain operators in the space of formal power series. Each such group contains the…

math.NT2020

, -expansions of the Riordan matrices of the associated subgroup

E. Burlachenko

We consider the group of the matrices isomorphic to the group of formal power series under composi…

math.NT2020

Numerator polynomials of the Riordan matrices

E. Burlachenko

Riordan matrices are infinite lower triangular matrices corresponding to the certain operators in the space of formal power series. Generalized Euler polynomials ${{g}_{n}}\left( x…

math.NT2019

Composition polynomials of RNA matrix and -composition polynomials of Riordan pseudo-involution

E. Burlachenko

Let be a Riordan matrix from the Bell subgroup. We denote ${{\left( g\left( x \right),xg\left( x \right) \right)}^{φ}}=\left(…

math.NT2019

Riordan arrays, Chebyshev polynomials, Fibonacci bases

E. Burlachenko

Chebyshev polynomials and their modifications are attributes of various fields of mathematics. In particular, they are generating functions of the rows elements of certain Riordan…

math.NT2018

Riordan-Dirichlet group

E. Burlachenko

Riordan matrices are infinite lower triangular matrices that correspond to certain operators in the space of formal power series. In this paper, we introduce similar matrices for t…