Compositae and their properties

Details Compositae and their properties Compositae and their properties

2011-03-14

arxiv.org/abs/1103.2582v1

Mathematics

Combinatorics

Scientific paper

A new class of functions based on compositions of an integer $n$ and termed compositae is introduced. Main theorems are presented; compositae are written for polynomials, trigonometric and hyperbolic functions, radicals, exponential and log functions. A solution is proposed for the problems of derivation of compositions of ordinary generating functions, Riordan arrays, inverse and reciprocal generating functions, functional equations $A(x)=G(xA(x)^m)$, and identities.

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