Application of a composition of generating functions for obtaining explicit formulas of polynomials

Dmitry V. Kruchinin, Vladimir V. Kruchinin

    Research output: Contribution to journal › Article

    28 Citations (Scopus)

    Abstract

    Using notions of composita and composition of generating functions, we obtain explicit formulas for the Chebyshev polynomials, the Legendre polynomials, the Gegenbauer polynomials, the Associated Laguerre polynomials, the Stirling polynomials, the Abel polynomials, the Bernoulli Polynomials of the Second Kind, the Generalized Bernoulli polynomials, the Euler Polynomials, the Peters polynomials, and the Narumi polynomials.

    Original languageEnglish
    Pages (from-to)161-171
    Number of pages11
    JournalJournal of Mathematical Analysis and Applications
    Volume404
    Issue number1
    DOIs
    Publication statusPublished - 1 Aug 2013

    Fingerprint

    Generating Function
    Explicit Formula
    Polynomials
    Bernoulli Polynomials
    Polynomial
    Chemical analysis
    Gegenbauer Polynomials
    Euler Polynomials
    Associated Polynomials
    Legendre polynomial
    Laguerre Polynomials
    Generalized Polynomials
    Chebyshev Polynomials

    Keywords

    • Composita
    • Composition of generating function
    • Generating function
    • Polynomial

    ASJC Scopus subject areas

    • Analysis
    • Applied Mathematics

    Cite this

    Application of a composition of generating functions for obtaining explicit formulas of polynomials. / Kruchinin, Dmitry V.; Kruchinin, Vladimir V.

    In: Journal of Mathematical Analysis and Applications, Vol. 404, No. 1, 01.08.2013, p. 161-171.

    Research output: Contribution to journal › Article

    Kruchinin, DV & Kruchinin, VV 2013, 'Application of a composition of generating functions for obtaining explicit formulas of polynomials', Journal of Mathematical Analysis and Applications, vol. 404, no. 1, pp. 161-171. https://doi.org/10.1016/j.jmaa.2013.03.009
    Kruchinin DV, Kruchinin VV. Application of a composition of generating functions for obtaining explicit formulas of polynomials. Journal of Mathematical Analysis and Applications. 2013 Aug 1;404(1):161-171. https://doi.org/10.1016/j.jmaa.2013.03.009
    Kruchinin, Dmitry V. ; Kruchinin, Vladimir V. / Application of a composition of generating functions for obtaining explicit formulas of polynomials. In: Journal of Mathematical Analysis and Applications. 2013 ; Vol. 404, No. 1. pp. 161-171.
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