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 | |
| 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)
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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