Symmetric identities on Bernoulli polynomials

Saved in:
Bibliographic Details
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
Header DbId: egs
DbLabel: Engineering Source
An: 43807889
AccessLevel: 6
PubType: Academic Journal
PubTypeId: academicJournal
PreciseRelevancyScore: 0
IllustrationInfo
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.)
PLink https://search.ebscohost.com/login.aspx?direct=true&site=eds-live&db=egs&AN=43807889
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
ResultId 1