ON THE LAGRANGE INTERPOLATIONS OF THE JACOBSTHAL AND JACOBSTHAL-LUCAS SEQUENCES

Authors : Orhan Dişkaya

Pages : 128-137

Doi:10.33773/jum.1518403

View : 53 | Download : 78

Publication Date : 2024-12-29

Article Type : Research Paper

Abstract :This study explores the formation of polynomials of at most degree $n$ using the first $n+1$ terms of the Jacobsthal and Jacobsthal-Lucas sequences through Lagrange interpolation. The paper provides a detailed examination of the recurrence relations and various identities associated with the Jacobsthal and Jacobsthal-Lucas Lagrange Interpolation Polynomials.
Keywords : Fibonacci numbers, Lucas numbers, Jacobsthal numbers, Lagrange interpolations, Binet formula