Recursive Sequences and Girard-Waring Identities with Applications in Sequence Transformation

Tian-Xiao He, Peter J.-S. Shiue, Zihan Nie, Minghao Chen

Research output: Journal ArticleArticlepeer-review

Abstract

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.
Original languageAmerican English
JournalElectronic Research Archive
Volume28
DOIs
StatePublished - Jun 2020

Keywords

  • Girard-Waring identity
  • Binet formula
  • recursive sequence
  • divided difference
  • Chebyshev polynomials

Disciplines

  • Applied Mathematics
  • Mathematics

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