Kilic, Nayil2025-03-232025-03-2320171787-50211787-6117https://hdl.handle.net/11486/7348In this paper, we study h(x)-Lucas quaternion polynomials considering several properties involving these polynomials and we present the exponential generating functions and the Poisson generating functions of the h(x)-Lucas quaternion polynomials. Also, by using Binet's formula we give the Cassini's identity, Catalan's identity and d'Ocagne's identity of the h(x)-Lucas quaternion polynomials.eninfo:eu-repo/semantics/closedAccessLucas polynomialsrecurrencesquaternionArticle471191282-s2.0-85039787559Q3WOS:000424545000007N/A