Isbilir, ZehraGurses, Nurten2021-12-012021-12-0120211310-51322367-8275https://doi.org/10.7546/nntdm.2021.27.1.171-187https://hdl.handle.net/20.500.12684/10539The aim of this article is to introduce Pell-Padovan generalized quaternions. It also derives new properties associated with these and takes into account negative indices. Additionally, it presents generating function, Binet-like formula, Simson formula, matrix representations, and several summation properties.en10.7546/nntdm.2021.27.1.171-187info:eu-repo/semantics/openAccessPell-Padovan numbersGeneralized quaternionsGenerating functionBinet-like formulaSimson formulaArticle271171187WOS:000637351800018N/A