20 citations · 34 across the 8 of their papers we have counts for
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math.CO2012
The method for obtaining expressions for coefficients of reverse generating functions
Vladimir Kruchinin
The powers of generating functions and its properties are analyzed. A new class of functions is introduced, based on the application of compositions of an integer , called compo…
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…
math.CO2012★ 2 cited
A Method for Obtaining Generating Function for Central Coefficients of Triangles
Vladimir Kruchinin, Dmitry Kruchinin
We present techniques for obtaining a generating function for the central coefficients of a triangle , which is given by the expression $[xH(x)]^k=\sum_{n\geqslant k} T(n,k…