A 4n-POINT ELLIPTIC INTERPOLATION FORMULA AND ITS APPLICATIONS.

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Title: A 4n-POINT ELLIPTIC INTERPOLATION FORMULA AND ITS APPLICATIONS.
Authors: CHEN, SANDY H. L.1 chenhuanlin@mail.nankai.edu.cn, FU, AMY M.2 fuchengmei@gmail.com
Source: SIAM Journal on Discrete Mathematics. 2017, Vol. 31 Issue 2, p758-765. 8p.
Subjects: Interpolation algorithms, Interpolation, Approximation theory, Elliptic equations, Hypergeometric functions
Abstract: In this paper, using the technique of the divided difference operators, we introduce a 4n-point elliptic interpolation formula. Some applications of our interpolation formula to elliptic and basic hypergeometric series are given. [ABSTRACT FROM AUTHOR]
Copyright of SIAM Journal on Discrete Mathematics is the property of Society for Industrial & Applied Mathematics 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.)
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  Data: A 4n-POINT ELLIPTIC INTERPOLATION FORMULA AND ITS APPLICATIONS.
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  Data: <searchLink fieldCode="DE" term="%22Interpolation+algorithms%22">Interpolation algorithms</searchLink><br /><searchLink fieldCode="DE" term="%22Interpolation%22">Interpolation</searchLink><br /><searchLink fieldCode="DE" term="%22Approximation+theory%22">Approximation theory</searchLink><br /><searchLink fieldCode="DE" term="%22Elliptic+equations%22">Elliptic equations</searchLink><br /><searchLink fieldCode="DE" term="%22Hypergeometric+functions%22">Hypergeometric functions</searchLink>
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  Data: In this paper, using the technique of the divided difference operators, we introduce a 4n-point elliptic interpolation formula. Some applications of our interpolation formula to elliptic and basic hypergeometric series are given. [ABSTRACT FROM AUTHOR]
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  Data: <i>Copyright of SIAM Journal on Discrete Mathematics is the property of Society for Industrial & Applied Mathematics 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: 10.1137/120875521
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      – Code: eng
        Text: English
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        PageCount: 8
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    Subjects:
      – SubjectFull: Interpolation algorithms
        Type: general
      – SubjectFull: Interpolation
        Type: general
      – SubjectFull: Approximation theory
        Type: general
      – SubjectFull: Elliptic equations
        Type: general
      – SubjectFull: Hypergeometric functions
        Type: general
    Titles:
      – TitleFull: A 4n-POINT ELLIPTIC INTERPOLATION FORMULA AND ITS APPLICATIONS.
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            NameFull: CHEN, SANDY H. L.
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            NameFull: FU, AMY M.
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            – D: 01
              M: 06
              Text: 2017
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              Y: 2017
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              Value: 31
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            – TitleFull: SIAM Journal on Discrete Mathematics
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