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A Newton type rational interpolation formula

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Title: A Newton type rational interpolation formula
Authors: Fu, Amy M.1 fu@nankai.edu.cn, Lascoux, Alain2 alain.lascoux@univ-mlv.fr
Source: Advances in Applied Mathematics. Sep2008, Vol. 41 Issue 3, p452-458. 7p.
Subjects: Interpolation, Numerical analysis, Q-series, Mathematical series, Mathematical formulas
Abstract: Abstract: We give a Newton type rational interpolation formula (Theorem 2.2). It contains as a special case the original Newton interpolation, as well as the interpolation formula of Liu, which allows to recover many important classical q-series identities. We show in particular that some bibasic identities are a consequence of our formula. [Copyright &y& Elsevier]
Copyright of Advances in Applied Mathematics 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
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Header DbId: egs
DbLabel: Engineering Source
An: 34210693
AccessLevel: 6
PubType: Academic Journal
PubTypeId: academicJournal
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  Data: A Newton type rational interpolation formula
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  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="%22Lascoux%2C+Alain%22">Lascoux, Alain</searchLink><relatesTo>2</relatesTo><i> alain.lascoux@univ-mlv.fr</i>
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  Data: <searchLink fieldCode="DE" term="%22Interpolation%22">Interpolation</searchLink><br /><searchLink fieldCode="DE" term="%22Numerical+analysis%22">Numerical analysis</searchLink><br /><searchLink fieldCode="DE" term="%22Q-series%22">Q-series</searchLink><br /><searchLink fieldCode="DE" term="%22Mathematical+series%22">Mathematical series</searchLink><br /><searchLink fieldCode="DE" term="%22Mathematical+formulas%22">Mathematical formulas</searchLink>
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  Data: Abstract: We give a Newton type rational interpolation formula (Theorem 2.2). It contains as a special case the original Newton interpolation, as well as the interpolation formula of Liu, which allows to recover many important classical q-series identities. We show in particular that some bibasic identities are a consequence of our formula. [Copyright &y& Elsevier]
– Name: AbstractSuppliedCopyright
  Label:
  Group: Ab
  Data: <i>Copyright of Advances in Applied Mathematics 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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        Value: 10.1016/j.aam.2008.01.003
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      – Code: eng
        Text: English
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        PageCount: 7
        StartPage: 452
    Subjects:
      – SubjectFull: Interpolation
        Type: general
      – SubjectFull: Numerical analysis
        Type: general
      – SubjectFull: Q-series
        Type: general
      – SubjectFull: Mathematical series
        Type: general
      – SubjectFull: Mathematical formulas
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      – TitleFull: A Newton type rational interpolation formula
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            NameFull: Fu, Amy M.
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              M: 09
              Text: Sep2008
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              Y: 2008
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