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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
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.NT2016★ 1 cited
Fractal generalized Pascal matrices
E. Burlachenko
Set of generalized Pascal matrices whose elements are generalized binomial coefficients is considered as an integral object. The special system of generalized Pascal matrices, base…