\(p\)-trigonometric approach to elliptic biquaternions

DOI10.1007/s00006-018-0878-3zbMath1410.11125OpenAlexW2809423184MaRDI QIDQ1668597

Murat Tosun, Kahraman Esen Özen

Publication date: 29 August 2018

Published in: Advances in Applied Clifford Algebras (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00006-018-0878-3

zbMATH Keywords

complex quaternionde-Moivre's formulaelliptic biquaternionfield of elliptic numbers

Mathematics Subject Classification ID

Quaternion and other division algebras: arithmetic, zeta functions (11R52) General field theory (12E99)

Related Items (5)

A general method for solving linear matrix equations of elliptic biquaternions with applications ⋮ Matrices over Quaternion Algebras ⋮ On elliptic biquaternion matrices ⋮ Unnamed Item ⋮ A general method for solving linear elliptic biquaternion equations

Cites Work

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• Elliptical harmonic motion and Euler-Savary formula
• Fundamental representations and algebraic properties of biquaternions or complexified quaternions
• Biquaternion (complexified quaternion) roots of \(- 1\)
• The roots of a split quaternion
• De Moivre's formula for quaternions
• Elliptic biquaternion algebra
• A note on elliptic biquaternions
• Geometry of Generalized Complex Numbers
• Hamilton's Discovery of Quaternions
• Bobillier Formula for the Elliptical Harmonic Motion

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