Publication:
Fibonacci-producing rational polynomials

Issued Date

2018-11-01

Resource Type

Article

ISSN

00150517

Other identifier(s)

2-s2.0-85058039277

Rights

Mahidol University

Rights Holder(s)

SCOPUS

Bibliographic Citation

Fibonacci Quarterly. Vol.56, No.4 (2018), 303-312

Suggested Citation

Brian Hopkins, Aram Tangboonduangjit Fibonacci-producing rational polynomials. Fibonacci Quarterly. Vol.56, No.4 (2018), 303-312. Retrieved from: https://repository.li.mahidol.ac.th/handle/20.500.14594/46095

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Authors

Journal Issue

Thesis

Title

Fibonacci-producing rational polynomials

Author(s)

Brian Hopkins
 Aram Tangboonduangjit

Other Contributor(s)

Mahidol University
 Saint Peter's University

Abstract

© 2018 The Fibonacci Association. All rights reserved. We study a family of interpolating rational polynomials that produce Fibonacci numbers on certain integer values. By construction, the degree m polynomial gives Fibonacci numbers for m+1 arguments; we show that several additional outputs are also closely related to Fibonacci numbers. Also, we use an alternative version of the polynomials to establish several identities.

Keyword(s)

Mathematics

Availability

URI

https://repository.li.mahidol.ac.th/handle/20.500.14594/46095

Collections

Scopus 2018