A general method for solving linear elliptic biquaternion equations

DOI10.1080/17476933.2020.1738409zbMath1460.15020OpenAlexW3011095229MaRDI QIDQ5856371

Murat Tosun, Kahraman Esen Özen

Publication date: 25 March 2021

Published in: Complex Variables and Elliptic Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/17476933.2020.1738409

zbMATH Keywords

solutionreal representationelliptic biquaternionquaternion equation

Mathematics Subject Classification ID

Matrices over special rings (quaternions, finite fields, etc.) (15B33) Matrix equations and identities (15A24) Applications of Clifford algebras to physics, etc. (15A67)

Cites Work

• Unnamed Item
• Unnamed Item
• Biquaternions and their complex matrix representations
• Condensed Cramer rule for some restricted quaternion linear equations
• Linear quaternionic equations and their systems
• Biquaternion (complexified quaternion) roots of \(- 1\)
• Quantum mechanics: From complex to complexified quaternions
• \(p\)-trigonometric approach to elliptic biquaternions
• A general method for solving linear matrix equations of elliptic biquaternions with applications
• Real matrix representations for the complex quaternions
• Elliptic biquaternion algebra
• A note on elliptic biquaternions
• Hamilton's Discovery of Quaternions
• Plancherel theorem and quaternion Fourier transform for square integrable functions
• Real Paley–Wiener theorem for the quaternion Fourier transform
• Regular quaternionic polynomials and their properties
• On the equation 𝜒𝛼=𝛾𝜒+𝛽 over an algebraic division ring

This page was built for publication: A general method for solving linear elliptic biquaternion equations