Exponentials of general multivector in 3D Clifford algebras

@article{Dargys2021ExponentialsOG,
  title={Exponentials of general multivector in 3D Clifford algebras},
  author={Adolfas Dargys and Artūras Acus},
  journal={Nonlinear Analysis: Modelling and Control},
  year={2021}
}
  • A. DargysA. Acus
  • Published 18 February 2021
  • Mathematics
  • Nonlinear Analysis: Modelling and Control
Closed form expressions to calculate the exponential of a general multivector (MV) in Clifford geometric algebras (GAs) Clp;q are presented for n = p + q = 3. The obtained exponential formulas were applied to find exact GA trigonometric and hyperbolic functions of MV argument. We have verified that the presented exact formulas are in accord with series expansion of MV hyperbolic and trigonometric functions. The exponentials may be applied to solve GA differential equations, in signal and image… 
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