About some properties of polynomials defined by generating functions of form F (t, x)α · G (t, α) x — National Research Tomsk Polytechnic University

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 language	English
Title of host publication	International Conference of Numerical Analysis and Applied Mathematics, ICNAAM 2016
Publisher	American Institute of Physics Inc.
Volume	1863
ISBN (Electronic)	9780735415386
DOIs	https://doi.org/10.1063/1.4992464
Publication status	Published - 21 Jul 2017
Event	International Conference of Numerical Analysis and Applied Mathematics 2016, ICNAAM 2016 - Rhodes, Greece Duration: 19 Sep 2016 → 25 Sep 2016

Conference

Conference	International Conference of Numerical Analysis and Applied Mathematics 2016, ICNAAM 2016
Country	Greece
City	Rhodes
Period	19.9.16 → 25.9.16

Keywords

composita
composition of generating function
generating function
polynomial

ASJC Scopus subject areas

Physics and Astronomy(all)

Access to Document

10.1063/1.4992464

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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 proceeding › Conference 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

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