Isbilir, ZehraGurses, Nurten2021-12-012021-12-0120210170-42141099-1476https://doi.org/10.1002/mma.7495https://hdl.handle.net/20.500.12684/10532In this study, we investigate the Padovan (or Cordonnier) and Perrin generalized quaternions. We obtain the new identities for these special quaternions related to matrix forms. We also introduce Binet-like formulae, generating functions, several summation, and binomial properties concerning these quaternions.en10.1002/mma.7495info:eu-repo/semantics/closedAccessBinet-like formulaebinomial sumsgeneralized quaternionsgenerating functionsPadovan numbersPerrin numbersArticle2-s2.0-85107375623WOS:000659119200001Q1Q1