Exponential forms and path integrals for complex numbers in n dimensions

Details Exponential forms and path integrals for complex numbers in n dimensions Exponential forms and path integrals for complex numbers in n dimensions

2000-07-28

arxiv.org/abs/math/0007180v1

Mathematics

Operator Algebras

27 pages, 4 figures

Scientific paper

Two distinct systems of commutative complex numbers in n dimensions are described, of polar and planar types. Exponential forms of n-complex numbers are given in each case, which depend on geometric variables. Azimuthal angles, which are cyclic variables, appear in these forms at the exponent, and this leads to the concept of residue for path integrals of n-complex functions. The exponential function of an n-complex number is expanded in terms of functions called in this paper cosexponential functions, which are generalizations to n dimensions of the circular and hyperbolic sine and cosine functions. The factorization of n-complex polynomials is discussed.

Affiliated with

Also associated with

No associations

Rating

Exponential forms and path integrals for complex numbers in n 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 Exponential forms and path integrals for complex numbers in n dimensions, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Exponential forms and path integrals for complex numbers in n dimensions will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-283829