About some properties of polynomials defined by generating functions of form F (t, x)α · G (t, α) x

Dmitry V. Kruchinin, Vladimir V. Kruchinin

    Research output: Chapter in Book/Report/Conference proceedingConference contribution

    Abstract

    In this paper, we study the properties of polynomials defined by generating functions of form F(t, x)α · G(t, α)x. We obtain new properties for those polynomials, which allow to obtain interesting identities. As application, using the results of paper we get the identities for the generalized Bernoulli polynomials.

    Original languageEnglish
    Title of host publicationInternational Conference of Numerical Analysis and Applied Mathematics, ICNAAM 2016
    PublisherAmerican Institute of Physics Inc.
    Volume1863
    ISBN (Electronic)9780735415386
    DOIs
    Publication statusPublished - 21 Jul 2017
    EventInternational Conference of Numerical Analysis and Applied Mathematics 2016, ICNAAM 2016 - Rhodes, Greece
    Duration: 19 Sep 201625 Sep 2016

    Conference

    ConferenceInternational Conference of Numerical Analysis and Applied Mathematics 2016, ICNAAM 2016
    CountryGreece
    CityRhodes
    Period19.9.1625.9.16

    Fingerprint

    polynomials

    Keywords

    • composita
    • composition of generating function
    • generating function
    • polynomial

    ASJC Scopus subject areas

    • Physics and Astronomy(all)

    Cite this

    Kruchinin, D. V., & Kruchinin, V. V. (2017). About some properties of polynomials defined by generating functions of form F (t, x)α · G (t, α) x. In International Conference of Numerical Analysis and Applied Mathematics, ICNAAM 2016 (Vol. 1863). [300015] American Institute of Physics Inc.. https://doi.org/10.1063/1.4992464

    About some properties of polynomials defined by generating functions of form F (t, x)α · G (t, α) x. / Kruchinin, Dmitry V.; Kruchinin, Vladimir V.

    International Conference of Numerical Analysis and Applied Mathematics, ICNAAM 2016. Vol. 1863 American Institute of Physics Inc., 2017. 300015.

    Research output: Chapter in Book/Report/Conference proceedingConference contribution

    Kruchinin, DV & Kruchinin, VV 2017, About some properties of polynomials defined by generating functions of form F (t, x)α · G (t, α) x. in International Conference of Numerical Analysis and Applied Mathematics, ICNAAM 2016. vol. 1863, 300015, American Institute of Physics Inc., International Conference of Numerical Analysis and Applied Mathematics 2016, ICNAAM 2016, Rhodes, Greece, 19.9.16. https://doi.org/10.1063/1.4992464
    Kruchinin DV, Kruchinin VV. About some properties of polynomials defined by generating functions of form F (t, x)α · G (t, α) x. In International Conference of Numerical Analysis and Applied Mathematics, ICNAAM 2016. Vol. 1863. American Institute of Physics Inc. 2017. 300015 https://doi.org/10.1063/1.4992464
    Kruchinin, Dmitry V. ; Kruchinin, Vladimir V. / About some properties of polynomials defined by generating functions of form F (t, x)α · G (t, α) x. International Conference of Numerical Analysis and Applied Mathematics, ICNAAM 2016. Vol. 1863 American Institute of Physics Inc., 2017.
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