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

Dmitry V. Kruchinin, Vladimir V. Kruchinin

    Research output: Contribution to journalArticle

    33 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

    Keywords

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

    ASJC Scopus subject areas

    • Analysis
    • Applied Mathematics

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