V. Kruchinin

most citedApplication of a composition of generating functions for obtaining explicit formulas of polynomials

4 citations · 4 across the 3 of their papers we have counts for

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math.CO2013

Method for solving an iterative functional equation $A^{2^{n}} (x) = F (x)$

Dmitry Kruchinin, Vladimir Kruchinin

Using the notion of the composita, we obtain a method of solving iterative functional equations of the form $A^{2^{n}} (x) = F (x)$ , where $F (x) = \sum_{n > 0} f (n) x^{n}$ , $f (1) \neq = 0$ . We pro…

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 $n$ , called compo…

Method for solving an iterative functional equation A2n(x)=F(x)

The method for obtaining expressions for coefficients of reverse generating functions

Method for solving an iterative functional equation $A^{2^{n}} (x) = F (x)$