\(n\)-dimensional hyperbolic complex numbers

DOI10.1007/BF03041925zbMath0937.30029MaRDI QIDQ1276101

Paul Fjelstad, Sorin Gheorghe Gal

Publication date: 7 June 2000

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

zbMATH Keywords

JFM 62.1122.03

Mathematics Subject Classification ID

Functions of hypercomplex variables and generalized variables (30G35)

Related Items (17)

On a formulation of certain integrable systems using hyperbolic numbers ⋮ One-parameter homothetic motions and Euler-Savary formula in generalized complex number plane \(\mathbb C_J\) ⋮ Hyperbolic Number Forms of the Euler-Savary Equation ⋮ Introduction to hybrid numbers ⋮ Hybrid complex numbers: the matrix version ⋮ One-parameter planar motions in generalized complex number plane \({\mathbb{C}_{J}}\) ⋮ Complex-type numbers and generalizations of the Euler identity ⋮ On dual hyperbolic numbers with generalized Jacobsthal numbers components ⋮ Two-dimensional geometries, topologies, trigonometries and physics generated by complex-type numbers ⋮ On the q-deformed circular imaginary unit and hyperbolic imaginary unit: q-deformed rotation in two dimension and q-deformed special relativity in 1 + 1 dimension ⋮ One-parameter homothetic motion in the hyperbolic plane and Euler-Savary formula ⋮ The Poincaré mass operator in terms of a hyperbolic algebra ⋮ Relativistic quantum physics with hyperbolic numbers ⋮ A hyperbolic non distributive algebra in \(1+2\) dimensions ⋮ On dual hyperbolic generalized Fibonacci numbers ⋮ Properties of hyperholomorphic functions and integrals for commutative-quaternionic valued functions ⋮ \(n\)-dimensional dual complex numbers

Cites Work

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