Explicit formulas for some generalized polynomials

Dmitry V. Kruchinin, Vladimir V. Kruchinin

    Research output: Contribution to journalArticle

    6 Citations (Scopus)

    Abstract

    Using notions of composita and composition of generating functions, we establish some explicit formulas for the Generalized Hermite polynomials, the Generalized Humbert polynomials, the Lerch polynomials, and the Mahler polynomials.

    Original languageEnglish
    Pages (from-to)2083-2088
    Number of pages6
    JournalApplied Mathematics and Information Sciences
    Volume7
    Issue number5
    DOIs
    Publication statusPublished - 2013

    Fingerprint

    Generalized Polynomials
    Explicit Formula
    Polynomials
    Polynomial
    Hermite Polynomials
    Generating Function
    Chemical analysis

    Keywords

    • Composita
    • Generalized Hermite polynomials
    • Generalized Humbert polynomials
    • Generating function
    • Lerch polynomials
    • Mahler polynomials

    ASJC Scopus subject areas

    • Applied Mathematics
    • Numerical Analysis
    • Analysis
    • Computer Science Applications
    • Computational Theory and Mathematics

    Cite this

    Explicit formulas for some generalized polynomials. / Kruchinin, Dmitry V.; Kruchinin, Vladimir V.

    In: Applied Mathematics and Information Sciences, Vol. 7, No. 5, 2013, p. 2083-2088.

    Research output: Contribution to journalArticle

    Kruchinin, Dmitry V. ; Kruchinin, Vladimir V. / Explicit formulas for some generalized polynomials. In: Applied Mathematics and Information Sciences. 2013 ; Vol. 7, No. 5. pp. 2083-2088.
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