ON THE h(x)-JACOBSTHAL LUCAS OCTONION POLYNOMIALS
RAGEA AHMED BOHAGR *
Department of Mathematics, Faculty of Science, Bengazi University, Libya and Department of Mathematics, Faculty of Science and Arts, Kastamonu University, Turkey.
ÜMIT TOKEŞER
Department of Mathematics, Faculty of Science and Arts, Kastamonu University, Turkey.
*Author to whom correspondence should be addressed.
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.
Keywords: k-Jacobsthal lucas sequence, h(x)-Jacobsthal lucas polynomial, h(x)-Jacobsthal lucas octonion polynomials, the Genrating function for Jacobsthal lucas octonion polynomials