Explicit formulas for some generalized polynomials

Dmitry V. Kruchinin, Vladimir V. Kruchinin

    Research output: Contribution to journalArticlepeer-review

    9 Citations (Scopus)


    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
    Issue number5
    Publication statusPublished - 2013


    • 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

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