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Öğe On Pell Quaternions and Pell-Lucas Quaternions(Springer Basel Ag, 2016) Cimen, Cennet Bolat; Ipek, AhmetThe 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.