A note on Hermite-based truncated Euler polynomials
In this paper, we introduce a new class of truncated Hermite-Euler polynomials and numbers as a generalization of Hermite-Euler polynomials. Furthermore, the discussion is on properties and relations with the hypergeometric Bernoulli polynomials, Frobenius-Euler polynomials and Stirling numbers of...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
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Sociedade Brasileira de Matemática
2022-12-01
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| Series: | Boletim da Sociedade Paranaense de Matemática |
| Online Access: | https://periodicos.uem.br/ojs/index.php/BSocParanMat/article/view/51960 |
| _version_ | 1797633500011036672 |
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| author | Waseem A. Khan Divesh Srivastava Rifaqat Ali |
| author_facet | Waseem A. Khan Divesh Srivastava Rifaqat Ali |
| author_sort | Waseem A. Khan |
| collection | DOAJ |
| description |
In this paper, we introduce a new class of truncated Hermite-Euler polynomials and numbers as a generalization of Hermite-Euler polynomials. Furthermore, the discussion is on properties and relations with the hypergeometric Bernoulli polynomials, Frobenius-Euler polynomials and Stirling numbers of the second kind. As a result, we derive some implicit summation formulas of this polynomials.
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| first_indexed | 2024-03-11T11:54:53Z |
| format | Article |
| id | doaj.art-82d391e92ea54737991b88fa550b63b5 |
| institution | Directory Open Access Journal |
| issn | 0037-8712 2175-1188 |
| language | English |
| last_indexed | 2024-03-11T11:54:53Z |
| publishDate | 2022-12-01 |
| publisher | Sociedade Brasileira de Matemática |
| record_format | Article |
| series | Boletim da Sociedade Paranaense de Matemática |
| spelling | doaj.art-82d391e92ea54737991b88fa550b63b52023-11-08T19:43:53ZengSociedade Brasileira de MatemáticaBoletim da Sociedade Paranaense de Matemática0037-87122175-11882022-12-014110.5269/bspm.51960A note on Hermite-based truncated Euler polynomialsWaseem A. Khan0Divesh Srivastava1Rifaqat Ali2Prince Mohammad Bin Fahd UniversityIntegral UniversityKing Khalid University In this paper, we introduce a new class of truncated Hermite-Euler polynomials and numbers as a generalization of Hermite-Euler polynomials. Furthermore, the discussion is on properties and relations with the hypergeometric Bernoulli polynomials, Frobenius-Euler polynomials and Stirling numbers of the second kind. As a result, we derive some implicit summation formulas of this polynomials. https://periodicos.uem.br/ojs/index.php/BSocParanMat/article/view/51960 |
| spellingShingle | Waseem A. Khan Divesh Srivastava Rifaqat Ali A note on Hermite-based truncated Euler polynomials Boletim da Sociedade Paranaense de Matemática |
| title | A note on Hermite-based truncated Euler polynomials |
| title_full | A note on Hermite-based truncated Euler polynomials |
| title_fullStr | A note on Hermite-based truncated Euler polynomials |
| title_full_unstemmed | A note on Hermite-based truncated Euler polynomials |
| title_short | A note on Hermite-based truncated Euler polynomials |
| title_sort | note on hermite based truncated euler polynomials |
| url | https://periodicos.uem.br/ojs/index.php/BSocParanMat/article/view/51960 |
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