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Generalized Commutative Mersenne and Mersenne–Lucas Quaternion Polynomials
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Abstract
Generalized commutative quaternions generalize elliptic, parabolic and hyperbolic quaternions, bicomplex numbers, complex hyperbolic numbers and hyperbolic complex numbers. In this paper, we use the Mersenne numbers and polynomials in the theory of these quaternions. We introduce and study generalized commutative Mersenne quaternion polynomials and generalized commutative Mersenne–Lucas quaternion polynomials.
Walter de Gruyter GmbH
Title: Generalized Commutative Mersenne and Mersenne–Lucas Quaternion Polynomials
Description:
Abstract
Generalized commutative quaternions generalize elliptic, parabolic and hyperbolic quaternions, bicomplex numbers, complex hyperbolic numbers and hyperbolic complex numbers.
In this paper, we use the Mersenne numbers and polynomials in the theory of these quaternions.
We introduce and study generalized commutative Mersenne quaternion polynomials and generalized commutative Mersenne–Lucas quaternion polynomials.
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