Composition of ordinary generating functions
Combinatorics
2010-09-15 v1
Abstract
A solution is proposed for the problem of composition of ordinary generating functions. A new class of functions that provides a composition of ordinary generating functions is introduced; main theorems are presented; compositae are written for polynomials, trigonometric and hyperbolic functions, exponential and log functions. It is shown that the composition holds true for many integer sequences.
Cite
@article{arxiv.1009.2565,
title = {Composition of ordinary generating functions},
author = {Kruchinin Vladimir Victorovich},
journal= {arXiv preprint arXiv:1009.2565},
year = {2010}
}