Composition of ordinary generating functions

Details Composition of ordinary generating functions Composition of ordinary generating functions

2010-09-14

arxiv.org/abs/1009.2565v1

Mathematics

Combinatorics

Scientific paper

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.

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