ON THE h(x)-JACOBSTHAL LUCAS OCTONION POLYNOMIALS

Abstract

In this paper we define h(x)-Jacobsthal lucas octonion polynomials, the generalize the k-Jacobsthal lucas octonion numbers, Also we establish the generating function and the Binets formula for h(x)-Jacobsthal lucas Octonion polynomials. finally we investigate the Catalan's identity, the Cassini's identity and Docagnes Identity for the h(x)-Jacobsthal and h(x)-Jacobsthal lucas octonion polynomials respectively.this reseach can be beneficial for reseachers who are interested in such mathematical domain and formula as well as can be more beneficial for students and learners.