2026-10-19T01:56:00Zhttps://ebyu-rdlopen.rawdatalibrary.net/oai/request

oai:ebyu-rdlopen.rawdatalibrary.net:ebyu/105132026-10-18T20:25:43Zopenairedrivercom_ebyu_10000col_ebyu_10001

QUATERNIONS WHOSE COMPONENTS ARE BLAISE AND BLAISE-LUCAS NUMBERSUysal, M.Özkan, E.Soykan, Y.Binet formulaBlaise numbersGenerating functionsQuaternionIn this paper, we introduce a new application of Blaise and Blaise-Lucas numbers. We define quaternions of the Blaise and Blaise-Lucas numbers. We calculate some important theorems; Cassini, Catalan, Vajda and d’Ocagne identities for quaternions of the Blaise and Blaise-Lucas numbers. We give the concepts of recurrence relation, characteristic equation, roots of the characteristic equation, Binet formula and generating function for these numbers. Finally, we give matrices representation of the Blaise and Blaise-Lucas Quaternions. © Palestine Polytechnic University-PPU 2026.Palestine Polytechnic University2026Articlehttps://rdlopen.rawdatalibrary.net/r/ebyu/105132219-5688enPalestine Journal of Mathematicsinfo:eu-repo/semantics/openAccessinfo:eu-repo/semantics/articlehttps://ebyu-rdlopen.rawdatalibrary.net/tr/items/ebyu/10513