Symmetric identities on Bernoulli polynomials
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| Title: | Symmetric identities on Bernoulli polynomials |
|---|---|
| Authors: | Fu, Amy M.1 fu@nankai.edu.cn, Pan, Hao2 haopan79@yahoo.com.cn, Zhang, Iris F.1 zhangfan03@mail.nankai.edu.cn |
| Source: | Journal of Number Theory. Nov2009, Vol. 129 Issue 11, p2696-2701. 6p. |
| Subjects: | Mathematical symmetry, Functional identities, Bernoulli polynomials, Bernoulli numbers, Mathematical analysis |
| Abstract: | Abstract: In this paper, we obtain a generalization of an identity due to Carlitz on Bernoulli polynomials. Then we use this generalized formula to derive two symmetric identities which reduce to some known identities on Bernoulli polynomials and Bernoulli numbers, including the Miki identity. [Copyright &y& Elsevier] |
| Copyright of Journal of Number Theory is the property of Academic Press Inc. and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract. (Copyright applies to all Abstracts.) | |
| Database: | Engineering Source |
| FullText | Text: Availability: 0 |
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| Header | DbId: egs DbLabel: Engineering Source An: 43807889 AccessLevel: 6 PubType: Academic Journal PubTypeId: academicJournal PreciseRelevancyScore: 0 |
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| Items | – Name: Title Label: Title Group: Ti Data: Symmetric identities on Bernoulli polynomials – Name: Author Label: Authors Group: Au Data: <searchLink fieldCode="AR" term="%22Fu%2C+Amy+M%2E%22">Fu, Amy M.</searchLink><relatesTo>1</relatesTo><i> fu@nankai.edu.cn</i><br /><searchLink fieldCode="AR" term="%22Pan%2C+Hao%22">Pan, Hao</searchLink><relatesTo>2</relatesTo><i> haopan79@yahoo.com.cn</i><br /><searchLink fieldCode="AR" term="%22Zhang%2C+Iris+F%2E%22">Zhang, Iris F.</searchLink><relatesTo>1</relatesTo><i> zhangfan03@mail.nankai.edu.cn</i> – Name: TitleSource Label: Source Group: Src Data: <searchLink fieldCode="JN" term="%22Journal+of+Number+Theory%22">Journal of Number Theory</searchLink>. Nov2009, Vol. 129 Issue 11, p2696-2701. 6p. – Name: Subject Label: Subjects Group: Su Data: <searchLink fieldCode="DE" term="%22Mathematical+symmetry%22">Mathematical symmetry</searchLink><br /><searchLink fieldCode="DE" term="%22Functional+identities%22">Functional identities</searchLink><br /><searchLink fieldCode="DE" term="%22Bernoulli+polynomials%22">Bernoulli polynomials</searchLink><br /><searchLink fieldCode="DE" term="%22Bernoulli+numbers%22">Bernoulli numbers</searchLink><br /><searchLink fieldCode="DE" term="%22Mathematical+analysis%22">Mathematical analysis</searchLink> – Name: Abstract Label: Abstract Group: Ab Data: Abstract: In this paper, we obtain a generalization of an identity due to Carlitz on Bernoulli polynomials. Then we use this generalized formula to derive two symmetric identities which reduce to some known identities on Bernoulli polynomials and Bernoulli numbers, including the Miki identity. [Copyright &y& Elsevier] – Name: AbstractSuppliedCopyright Label: Group: Ab Data: <i>Copyright of Journal of Number Theory is the property of Academic Press Inc. and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract.</i> (Copyright applies to all Abstracts.) |
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| RecordInfo | BibRecord: BibEntity: Identifiers: – Type: doi Value: 10.1016/j.jnt.2009.05.018 Languages: – Code: eng Text: English PhysicalDescription: Pagination: PageCount: 6 StartPage: 2696 Subjects: – SubjectFull: Mathematical symmetry Type: general – SubjectFull: Functional identities Type: general – SubjectFull: Bernoulli polynomials Type: general – SubjectFull: Bernoulli numbers Type: general – SubjectFull: Mathematical analysis Type: general Titles: – TitleFull: Symmetric identities on Bernoulli polynomials Type: main BibRelationships: HasContributorRelationships: – PersonEntity: Name: NameFull: Fu, Amy M. – PersonEntity: Name: NameFull: Pan, Hao – PersonEntity: Name: NameFull: Zhang, Iris F. IsPartOfRelationships: – BibEntity: Dates: – D: 01 M: 11 Text: Nov2009 Type: published Y: 2009 Identifiers: – Type: issn-print Value: 0022314X Numbering: – Type: volume Value: 129 – Type: issue Value: 11 Titles: – TitleFull: Journal of Number Theory Type: main |
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