On a family of Euler-type numbers and polynomials
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 fo...
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| Format: | Article |
| Language: | English |
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Sapienza Università Editrice
2023-01-01
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| Series: | Rendiconti di Matematica e delle Sue Applicazioni |
| Subjects: | |
| Online Access: | https://www1.mat.uniroma1.it/ricerca/rendiconti/ARCHIVIO/2023(1-2)/1-26.pdf |
| _version_ | 1797821793055014912 |
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| author | Claudio Pita-Ruiz |
| author_facet | Claudio Pita-Ruiz |
| author_sort | Claudio Pita-Ruiz |
| collection | DOAJ |
| description | 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. |
| first_indexed | 2024-03-13T09:58:03Z |
| format | Article |
| id | doaj.art-d3c2f7027a664e15bc8defc7c6092c5e |
| institution | Directory Open Access Journal |
| issn | 1120-7183 2532-3350 |
| language | English |
| last_indexed | 2024-03-13T09:58:03Z |
| publishDate | 2023-01-01 |
| publisher | Sapienza Università Editrice |
| record_format | Article |
| series | Rendiconti di Matematica e delle Sue Applicazioni |
| spelling | doaj.art-d3c2f7027a664e15bc8defc7c6092c5e2023-05-23T13:07:40ZengSapienza Università EditriceRendiconti di Matematica e delle Sue Applicazioni1120-71832532-33502023-01-01441-2126On a family of Euler-type numbers and polynomialsClaudio Pita-Ruiz0Universidad Panamericana. Facultad de Ingenier´ıa. Augusto Rodin 498, Ciudad de M´exico, 03920, M´exico.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.https://www1.mat.uniroma1.it/ricerca/rendiconti/ARCHIVIO/2023(1-2)/1-26.pdfeuler numbereuler polynomialgeneralized stirling number |
| spellingShingle | Claudio Pita-Ruiz On a family of Euler-type numbers and polynomials Rendiconti di Matematica e delle Sue Applicazioni euler number euler polynomial generalized stirling number |
| title | On a family of Euler-type numbers and polynomials |
| title_full | On a family of Euler-type numbers and polynomials |
| title_fullStr | On a family of Euler-type numbers and polynomials |
| title_full_unstemmed | On a family of Euler-type numbers and polynomials |
| title_short | On a family of Euler-type numbers and polynomials |
| title_sort | on a family of euler type numbers and polynomials |
| topic | euler number euler polynomial generalized stirling number |
| url | https://www1.mat.uniroma1.it/ricerca/rendiconti/ARCHIVIO/2023(1-2)/1-26.pdf |
| work_keys_str_mv | AT claudiopitaruiz onafamilyofeulertypenumbersandpolynomials |