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Next, on any hyperboloid of one or two sheets, which is a generalized Lorentzian sphere, non-parabolic conical rotations with nonnull axes are expressed using the generalized split quaternions with supporting numerical examples.<\/jats:p>","DOI":"10.3390\/sym15091805","type":"journal-article","created":{"date-parts":[[2023,9,21]],"date-time":"2023-09-21T21:08:36Z","timestamp":1695330516000},"page":"1805","update-policy":"https:\/\/doi.org\/10.3390\/mdpi_crossmark_policy","source":"Crossref","is-referenced-by-count":3,"title":["Generalized Split Quaternions and Their Applications on Non-Parabolic Conical Rotations"],"prefix":"10.3390","volume":"15","author":[{"ORCID":"https:\/\/orcid.org\/0009-0001-5827-4333","authenticated-orcid":false,"given":"Mehmet","family":"Duru","sequence":"first","affiliation":[{"name":"Department of Mathematics, Akdeniz University, Antalya 07058, T\u00fcrkiye"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"ORCID":"https:\/\/orcid.org\/0000-0001-5559-9768","authenticated-orcid":false,"given":"Harun Bar\u0131\u015f","family":"\u00c7olako\u011flu","sequence":"additional","affiliation":[{"name":"Department of Computer Technologies, Akdeniz University, Antalya 07058, T\u00fcrkiye"}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"1968","published-online":{"date-parts":[[2023,9,21]]},"reference":[{"key":"ref_1","doi-asserted-by":"crossref","first-page":"351","DOI":"10.55730\/1300-0098.3364","article-title":"Generalized elliptical quaternions with some applications","volume":"47","year":"2023","journal-title":"Turk. 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