English

Complex-type numbers and generalizations of the Euler identity

Classical Analysis and ODEs 2011-03-15 v1 Mathematical Physics math.MP

Abstract

We consider different generalizations of the Euler formula and discuss the properties of the associated trigonometric functions. The problem is analyzed from different points of view and it is shown that it can be formulated in a natural way in algebraic and geometric terms.

Keywords

Cite

@article{arxiv.1103.2321,
  title  = {Complex-type numbers and generalizations of the Euler identity},
  author = {D. Babusci and G. Dattoli and E. Di Palma and E. Sabia},
  journal= {arXiv preprint arXiv:1103.2321},
  year   = {2011}
}

Comments

10 pages

R2 v1 2026-06-21T17:38:26.633Z