On solving some functional equations

Dmitry V. Kruchinin

    Research output: Contribution to journalArticle

    4 Citations (Scopus)

    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 languageEnglish
    JournalAdvances in Difference Equations
    Volume2015
    Issue number1
    DOIs
    Publication statusPublished - 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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