Affiliation:
1. Erciyes University, Faculty of Science, Department of Mathematics, Kayseri, Turkey
Abstract
The main aim of this work is to introduce the Gaussian Pell quaternion QGpn
and Gaussian Pell-Lucas quaternion QGqn, where the components of QGpn and
QGqn are Pell numbers pn and Pell-Lucas numbers qn, respectively. Firstly,
we obtain the recurrence relations and Binet formulas for QGpn and QGqn. We
use Binet formulas to prove Cassini?s identity for these quaternions.
Furthermore, we give some basic identities for QGpn and QGqn such as some
summation formulas, the terms with negative indices and the generating
functions for these complex quaternions.
Publisher
National Library of Serbia
Cited by
4 articles.
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