Unrestricted pell and pell-lucas quaternions

Goksal Bilgici, Paula Catarino

Abstract


In this study, we define the unrestricted Pell and Pell-Lucas quaternions. We give generating functions, Binet formulas and some generalizations of well-known identities such as Vajda’s, Catalan’s, Cassini’s d’Ocagne’s identities.


Keywords


Pell quaternion; Pell-Lucas quaternion; generating function

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References


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DOI: http://dx.doi.org/10.24294/ijmss.v1i3.816

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