Recursive Sequences and Girard-Waring Identities with Applications in Sequence Transformation
Electronic Research Archive
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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.
Girard-Waring identitiy; Binet formula; Recursive sequence; Divided difference; Chebyshev polynomials
Shiue, P. J.,
Recursive Sequences and Girard-Waring Identities with Applications in Sequence Transformation.
Electronic Research Archive, 28(2),