Cimen, Cennet BolatIpek, Ahmet2024-09-182024-09-1820160188-70091661-4909https://doi.org/10.1007/s00006-015-0571-8https://hdl.handle.net/20.500.12483/11615The main object of this paper is to present a systematic investigation of new classes of quaternion numbers associated with the familiar Pell and Pell-Lucas numbers. The various results obtained here for these classes of quaternion numbers include recurrence relations, summation formulas and Binet's formulas.eninfo:eu-repo/semantics/closedAccessPell numbersPell-Lucas numbersPell quaternionsPell-Lucas quaternionsQuaternion algebraOn Pell Quaternions and Pell-Lucas QuaternionsArticle261395110.1007/s00006-015-0571-82-s2.0-84958675725Q3WOS:000370339300004Q4