Biquaternion extensions of analytic functions

DOI10.1007/s00006-022-01238-8OpenAlexW4292316593WikidataQ113906413 ScholiaQ113906413MaRDI QIDQ2170972

Roger M. Oba

Publication date: 8 September 2022

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

Full work available at URL: https://doi.org/10.1007/s00006-022-01238-8

zbMATH Keywords

Cauchy integral formulabiquaternion functions

Mathematics Subject Classification ID

Functions of hypercomplex variables and generalized variables (30G35) Clifford algebras, spinors (15A66)

Cites Work

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• Fundamentals of bicomplex pseudoanalytic function theory: Cauchy integral formulas, negative formal powers and Schrödinger equations with complex coefficients
• Fundamental representations and algebraic properties of biquaternions or complexified quaternions
• Biquaternion (complexified quaternion) roots of \(- 1\)
• Quaternion polar representation with a complex modulus and complex argument inspired by the Cayley-Dickson form.
• General solution of the inhomogeneous div-curl system and consequences
• Die Funktionentheorie der Differentialgleichungen \(\Delta u=0\) und \(\Delta\Delta u=0\) mit vier reellen Variablen
• Eigen-decomposition of quaternions
• Über die analytische Darstellung der regulären Funktionen einer Quaternionenvariablen
• Contributions to the theory of functions of a bicomplex variable
• Square Roots of –1 in Real Clifford Algebras
• Bicomplex Numbers and their Elementary Functions
• Applied Pseudoanalytic Function Theory
• Quaternionic analysis
• The Quaternion Calculus
• Determination of the biquaternion divisors of zero, including the idempotents and nilpotents.

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