Explicit formulas for some generalized polynomials

Dmitry V. Kruchinin, Vladimir V. Kruchinin

    Research output: Contribution to journal › Article

    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 journal › Article

    Kruchinin, DV & Kruchinin, VV 2013, 'Explicit formulas for some generalized polynomials', Applied Mathematics and Information Sciences, vol. 7, no. 5, pp. 2083-2088. https://doi.org/10.12785/amis/070550
    Kruchinin DV, Kruchinin VV. Explicit formulas for some generalized polynomials. Applied Mathematics and Information Sciences. 2013;7(5):2083-2088. https://doi.org/10.12785/amis/070550
    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.
    @article{47a09fdfb6d74ec9bfb4f64a2a92a450,
    title = "Explicit formulas for some generalized polynomials",
    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.",
    keywords = "Composita, Generalized Hermite polynomials, Generalized Humbert polynomials, Generating function, Lerch polynomials, Mahler polynomials",
    author = "Kruchinin, {Dmitry V.} and Kruchinin, {Vladimir V.}",
    year = "2013",
    doi = "10.12785/amis/070550",
    language = "English",
    volume = "7",
    pages = "2083--2088",
    journal = "Applied Mathematics and Information Sciences",
    issn = "1935-0090",
    publisher = "Natural Sciences Publishing Corporation",
    number = "5",

    }

    TY - JOUR

    T1 - Explicit formulas for some generalized polynomials

    AU - Kruchinin, Dmitry V.

    AU - Kruchinin, Vladimir V.

    PY - 2013

    Y1 - 2013

    N2 - 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.

    AB - 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.

    KW - Composita

    KW - Generalized Hermite polynomials

    KW - Generalized Humbert polynomials

    KW - Generating function

    KW - Lerch polynomials

    KW - Mahler polynomials

    UR - http://www.scopus.com/inward/record.url?scp=84882977738&partnerID=8YFLogxK

    UR - http://www.scopus.com/inward/citedby.url?scp=84882977738&partnerID=8YFLogxK

    U2 - 10.12785/amis/070550

    DO - 10.12785/amis/070550

    M3 - Article

    AN - SCOPUS:84882977738

    VL - 7

    SP - 2083

    EP - 2088

    JO - Applied Mathematics and Information Sciences

    JF - Applied Mathematics and Information Sciences

    SN - 1935-0090

    IS - 5

    ER -

    Access to Document