Quaternions: Quantum Calculus Approach with Applications

Ilker Akkus, Gonca Kizilaslan

Abstract


In this paper we introduce two types of quaternion sequences with components including quantum integers. We also introduce quantum quaternion polynomials. Moreover, we give some properties and identities for these quantum quaternions. Finally, we give time evolution and rotation applications for some specic quaternion sequences. The applications can be converted into quantum integer forms under suitable conditions with similar considerations.

Keywords


Quaternion, q-calculus, q-identities.

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References


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