Muhammad Syifaul Mufid, Tahiyatul Asfihani, Lukman Hanafi : On The Lagrange Interpolation of Fibonacci Sequence

Muhammad Syifaul Mufid S.Si.,M.Si
Tahiyatul Asfihani S.Si., M.Si
Drs. Lukman Hanafi M.Sc

Year

2016

Published in

International Conference on Mathematics : Pure, Applied and Computation (ICoMPAC)

External link

Type

Seminar Internasional

Keywords

Fibonacci sequence; Lagrange interpolation; FLIP


Abstract

Fibonacci sequence is one of the most common sequences in mathematics. It was first introduced by Leonardo Pisa in his book Liber Abaci (1202). From the first n+1 terms of Fibonacci sequence, a polynomial of degree at most n can be constructed using Lagrange interpolation. In this paper, we show that this Fibonacci Lagrange Interpolation Polynomial (FLIP) can be obtained both recursively and implicitly.