On solving some functional equations

Abstract

Using the notion of composita and the Lagrange inversion theorem, we present techniques for solving the following functional equation B(x)=H(xB(x)^m), where H(x),B(x) are generating functions and m ∈ N. Also we give some examples.

Original language	English
Journal	Advances in Difference Equations
Volume	2015
Issue number	1
DOIs	https://doi.org/10.1186/s13662-014-0347-9
Publication status	Published - 2015

Keywords

composita
functional equation
generating function
Lagrange inversion theorem

ASJC Scopus subject areas

Applied Mathematics
Algebra and Number Theory
Analysis

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10.1186/s13662-014-0347-9

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abstract = "Using the notion of composita and the Lagrange inversion theorem, we present techniques for solving the following functional equation B(x)=H(xB(x)m), where H(x),B(x) are generating functions and m ∈ N. Also we give some examples.",

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