5 citations · 7 across the 6 of their papers we have counts for
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, -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…
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…
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…
Riordan arrays and generalized Euler polynomials
E. Burlachenko
Generalization of the Euler polynomials are the polynomials ${{α}_{n}}\lef…
-expansion of pseudo-involution in the Riordan group
E. Burlachenko
Each numerical sequence with the generating function defines the pseudo-involution in the Riordan group $\lef…
Algebra of formal power series, isomorphic to the algebra of formal Dirichlet series
E. Burlachenko
Ordinary algebra of formal power series in one variable is convenient to study by means of the algebra of Riordan matrices and the Riordan group. In this paper we consider algebra…