20 citations · 29 across the 11 of their papers we have counts for
Showing math.NTShow all
2 papers · 1 filter
math.NT2012★ 1 cited
Integer properties of a composition of exponential generating functions
Dmitry Kruchinin
In this paper, we study a composition of exponential generating functions. We obtain new properties of this composition, which allow to distinguish prime numbers from composite num…
math.NT2012★ 4 cited
Application of a composition of generating functions for obtaining explicit formulas of polynomials
Vladimir Kruchinin, Dmitry Kruchinin
Using notions of composita and composition of generating functions we obtain explicit formulas for Chebyshev polynomials, Legendre polynomials, Gegenbauer polynomials, Associated L…