A Unification of the Generalized Multiparameter Apostol-type Bernoulli, Euler, Fubini, and Genocchi Polynomials of Higher Order
| Autor: | Nestor Gonzales Acala |
|---|---|
| Rok vydání: | 2020 |
| Předmět: |
Statistics and Probability
Numerical Analysis Pure mathematics Algebra and Number Theory Unification Mathematics::Number Theory Applied Mathematics Type (model theory) Theoretical Computer Science Bernoulli polynomials symbols.namesake Bernoulli's principle Fubini's theorem symbols Euler's formula Order (group theory) Geometry and Topology Symmetry (geometry) Mathematics |
| Zdroj: | European Journal of Pure and Applied Mathematics. 13:587-607 |
| ISSN: | 1307-5543 |
| DOI: | 10.29020/nybg.ejpam.v13i3.3757 |
| Popis: | Most unifications of the classical or generalized Bernoulli, Euler, and Genocchi polynomials involve unifying any two or all of the three special types of polynomials (see, [1, 4, 9, 18, 19,21, 24–26, 30, 31]). In this paper, we introduce a new class of multiparameter Fubini-type gener-alized polynomials that unifies four families of higher order generalized Apostol-type polynomials such as the Apostol-Bernoulli, Apostol-Euler, Apostol-Genocchi, and Apostol-Fubini polynomials. Moreover, we obtain an explicit formula of these unified generalized polynomials in terms of the Gaussian hypergeometric function, and establish several symmetry identities. |
| Databáze: | OpenAIRE |
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