On solving some functional equations

Dmitry V. Kruchinin

    Research output: Contribution to journal › Article

    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

    Fingerprint

    Lagrange
    Functional equation
    Generating Function
    Inversion
    Theorem

    Keywords

    • composita
    • functional equation
    • generating function
    • Lagrange inversion theorem

    ASJC Scopus subject areas

    • Applied Mathematics
    • Algebra and Number Theory
    • Analysis

    Cite this

    On solving some functional equations. / Kruchinin, Dmitry V.

    In: Advances in Difference Equations, Vol. 2015, No. 1, 2015.

    Research output: Contribution to journal › Article

    Kruchinin, DV 2015, 'On solving some functional equations', Advances in Difference Equations, vol. 2015, no. 1. https://doi.org/10.1186/s13662-014-0347-9
    Kruchinin DV. On solving some functional equations. Advances in Difference Equations. 2015;2015(1). https://doi.org/10.1186/s13662-014-0347-9
    Kruchinin, Dmitry V. / On solving some functional equations. In: Advances in Difference Equations. 2015 ; Vol. 2015, No. 1.
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