On a family of Euler-type numbers and polynomials
| Autor: | Claudio Pita-Ruiz |
|---|---|
| Jazyk: | English<br />French<br />Italian |
| Rok vydání: | 2023 |
| Předmět: | |
| Zdroj: | Rendiconti di Matematica e delle Sue Applicazioni, Vol 44, Iss 1-2, Pp 1-26 (2023) |
| Druh dokumentu: | article |
| ISSN: | 1120-7183 2532-3350 |
| Popis: | We consider a family of Euler-type polynomials, depending on a real parameter α 6= 0, 1. The case α = 2 corresponds to standard Euler polynomials. We show some properties of these polynomials, and show also two generalized recurrences. As consequences of these results, we obtain several explicit formulas for Euler numbers and polynomials. |
| Databáze: | Directory of Open Access Journals |
| Externí odkaz: |
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