English

The Z-Transform of the Levi-Civita Symbol

General Mathematics 2021-10-13 v2

Abstract

A derivation of the Z-transform of the Levi-Civita symbol is carried out up to 3 dimensions, and generalized to higher dimensions. Using its Z-transforms, corresponding expressions for the Laplace transform are also found, using Tustin's transform

Keywords

Cite

@article{arxiv.2110.03056,
  title  = {The Z-Transform of the Levi-Civita Symbol},
  author = {W. Astar},
  journal= {arXiv preprint arXiv:2110.03056},
  year   = {2021}
}

Comments

corrected the following equations: 3.13, 4.6, 4.11, and 4.18. Also clarified that Tustin's transform induces frequency-warping