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In this paper, h(x)-Jacobsthal octonion polynomials to generalize both k-Jacobsthal octonion numbers and Horadam's Jacobsthal octonion polynomials have been defined. In addition,the generating function of h(x)-Jacobsthal Octonion polynomials as well as the Binet's formula for these octonion polynomials have been defined and explained further.Additionally, the generating function of h(x)-Jacobsthal octonion polynomial sequence has been found.In addition,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.
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