13 citations · 59 across the 37 of their papers we have counts for
38 papers
Centralizers of linear and locally nilpotent derivations
L. Bedratyuk, Y. Chapovskyi, A. Petravchuk
Let be an algebraically closed field of characteristic zero, the polynomial ring, the field of rational functions, and let $W_n(K)…
Some new identities for Schur polynomials
Leonid Bedratyuk
For the Schur polynomials bounded and unbounded generalizations of the Cauchy identities are found.
3D geometric moment invariants from the point of view of the classical invariant theory
Leonid Bedratyuk
The aim of this paper is to clear up the problem of the connection between the 3D geometric moments invariants and the invariant theory, considering a problem of describing of the…
Some properties of generalized hypergeometric Appell polynomials
L Bedratyuk., N. Luno
In this paper, we present a new real-valued Appell-type polynomial family every member of which is expressed by mean of a generalized hypergeometric function. Th…
Derivations and identities for Chebyshev polynomials of the first and second kinds
Leonid Bedratyuk, Nataliia Luno
In this paper we follow the general approach, proposed earlier by the first author, which is derived from the invariant theory field and provides a way of obtaining of the polynomi…
2D moment invariants from the point of view of the classical invariant theory
Leonid Bedratyuk
Invariants allow to classify images up to the action of a group of transformations. In this paper we introduce notions of the algebras of simultaneous polynomial and rational 2D mo…