On solving some functional equations

Dmitry V. Kruchinin

Research output: Contribution to journal › Article

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

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Keywords

composita
functional equation
generating function
Lagrange inversion theorem

ASJC Scopus subject areas

Applied Mathematics
Algebra and Number Theory
Analysis

Cite this

Kruchinin, D. V. (2015). On solving some functional equations. Advances in Difference Equations, 2015(1). https://doi.org/10.1186/s13662-014-0347-9

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Access to Document

10.1186/s13662-014-0347-9