Title of article
Some properties and identities of hyperbolic generalized k-Horadam quaternions and octonions
Author/Authors
Prasad ، Kalika Department of Mathematics - Central University of Jharkhand , Kumari ، Munesh Department of Mathematics - Central University of Jharkhand , Kizilates ، Can Department of Mathematics - Zonguldak Bülent Ecevit University
From page
707
To page
724
Abstract
The aim of this paper is to introduce the hyperbolic generalized k-Horadam quaternions and octonions and investigate their algebraic properties. We present some properties and identities of these quaternions and octonions for generalized k-Horadam numbers. Moreover, we give some determinants related to the hyperbolic generalized k-Horadam quaternions and octonions. Finally, we evaluate its determinants through the Chebyshev polynomials of the second kind and give an illustrative example as well.
Keywords
Horadam number , Hyperbolic quaternions and octonions , Binet formula , Generating Function , Chebyshev polynomials
Journal title
Communications in Combinatorics and Optimization
Journal title
Communications in Combinatorics and Optimization
Record number
2762245
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