20 citations · 29 across the 11 of their papers we have counts for
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math.CO2011
On a property of superposition of the generating functions ln(1/(1-F(x)))
Dmitry Kruchinin
Obtained a new property of superposition of the generating functions ln(1/(1-F(x))), where F(x) - generating function with integer coefficients, which allows the construction a pri…
math.CO2011
New properties for a composition of some generating functions for primes
Dmitry Kruchinin, Yuriy Shablya
In this paper, we consider properties of coefficients of a generating functions composition, where the outer function is a logarithmic generating function and the inner function is…
math.CO2011★ 20 cited
Composita and its properties
Vladimir V. Kruchinin, Dmitry V. Kruchinin
In this paper we study the coefficients of the powers of an ordinary generating function and their properties. A new class of functions based on compositions of an integer is i…