Recursive sequences and girard-waring identities with applications in sequence transformation

Recursive sequences and girard-waring identities with applications in sequence transformation

We present here a generalized Girard-Waring identity constructed from recursive sequences. We also present the construction of Binet Girard-Waring identity and classical Girard-Waring identity by using the generalized Girard-Waring identity and divided differences. The application of the generalized...

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Veröffentlicht in:Electronic Research Archive 2020-06, Vol.28 (2), p.1049-1062
Hauptverfasser: He, Tian-Xiao, Shiue, Peter J.-S., Nie, Zihan, Chen, Minghao
Format: Artikel
Sprache:eng
Schlagworte:
Waring, Edward
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Zusammenfassung:We present here a generalized Girard-Waring identity constructed from recursive sequences. We also present the construction of Binet Girard-Waring identity and classical Girard-Waring identity by using the generalized Girard-Waring identity and divided differences. The application of the generalized Girard-Waring identity to the transformation of recursive sequences of numbers and polynomials is discussed.
ISSN:2688-1594
2688-1594
DOI:10.3934/era.2020057