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

Yıl 2024, , 128 - 137, 29.12.2024

Orhan Dişkaya

https://doi.org/10.33773/jum.1518403

Öz

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.

Anahtar Kelimeler

Fibonacci numbers, Lucas numbers, Jacobsthal numbers, Lagrange interpolations, Binet formula

Kaynakça

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