Hyperbolic complex numbers in two dimensions

Details Hyperbolic complex numbers in two dimensions Hyperbolic complex numbers in two dimensions

2000-08-16

arxiv.org/abs/math/0008119v1

Mathematics

Complex Variables

19 pages

Scientific paper

A system of commutative hyperbolic complex numbers in 2 dimensions is studied in this paper. Exponential and trigonometric forms are obtained for these hyperbolic twocomplex numbers. Expressions are given for the elementary functions of hyperbolic twocomplex variable. The functions of a hyperbolic twocomplex variable which are defined by power series are analytic. Relations of equality exist between partial derivatives of the real components a function of a hyperbolic twocomplex variable. The integral of a twocomplex function between two points is independent of the path connecting the points. A hyperbolic twocomplex polynomial can be written as a product of linear or quadratic factors, although the factorization may not be unique.

Affiliated with

Also associated with

No associations

Rating

Hyperbolic complex numbers in two dimensions does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Hyperbolic complex numbers in two dimensions, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Hyperbolic complex numbers in two dimensions will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-674155