The method for obtaining expressions for coefficients of reverse generating functions
Combinatorics
2012-11-15 v1
Abstract
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 composita. The methods for obtaining reciprocal and reverse generating functions, and solutions of the functional equations , where is an unknown generating function, are proposed. Key words: generating functions, reverse, reciprocal, composita, method.
Cite
@article{arxiv.1211.3244,
title = {The method for obtaining expressions for coefficients of reverse generating functions},
author = {Vladimir Kruchinin},
journal= {arXiv preprint arXiv:1211.3244},
year = {2012}
}