13 citations · 59 across the 37 of their papers we have counts for
9 papers · 1 filter
Some new identities for Schur polynomials
Leonid Bedratyuk
For the Schur polynomials bounded and unbounded generalizations of the Cauchy identities are found.
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…
The Double Star Sequences and the General Second Zagreb Index
Leonid Bedratyuk
For a simple graph we introduce notions of the double star sequence, the double star frequently sequence and prove that these sequences are inverses of each other. As a consequence…
The star sequence and the general first Zagreb index
Leonid Bedratyuk, Oleg Savenko
For a simple graph, we introduce a notion of the star sequence and prove that the star sequence and the frequently sequences of a graph are inverses of each other from a combinator…
A new formula for the generating function of the numbers of simple graphs
Leonid Bedratyuk
By using an approach of the invariant theory we obtain a new formula for the ordinary generating function of the numbers of the simple graphs with nodes.