Scaled Fibonacci-and Lucas-Producing Rational Polynomials

Issued Date

2022-01-01

Resource Type

Article

eISSN

15307638

Scopus ID

2-s2.0-85127891547

Journal Title

Journal of Integer Sequences

Volume

25

Issue

3

Rights Holder(s)

SCOPUS

Bibliographic Citation

Journal of Integer Sequences Vol.25 No.3 (2022)

Suggested Citation

Hopkins B. Scaled Fibonacci-and Lucas-Producing Rational Polynomials. Journal of Integer Sequences Vol.25 No.3 (2022). Retrieved from: https://repository.li.mahidol.ac.th/handle/20.500.14594/87538

Title

Scaled Fibonacci-and Lucas-Producing Rational Polynomials

Author(s)

Hopkins B.

Author's Affiliation

Mahidol University
 Saint Peter’s University

Other Contributor(s)

Mahidol University

Abstract

We study families of interpolating rational polynomials that produce scaled Fibonacci or Lucas numbers on certain integer values. We use the expansions of these familiesinbinomialpolynomialsandotherformatstoestablishseveralidentitiesinvolv-ing harmonic numbers, binomial coefficients, and various recursively defined sequences.

Keyword(s)

Mathematics

Availability

URI

https://repository.li.mahidol.ac.th/handle/20.500.14594/87538

Collections

Scopus 2022