The Cauchy-Pompeiu integral formula in elliptic complex numbers
Complex Variables
2011-08-11 v3
Abstract
The aim of this article is to give a generalization of the Cauchy-Pompeiu integral formula for functions valued in parameter-depending elliptic algebras with structure polynomial where and are real numbers. As a consequence, a Cauchy integral representation formula is obtained for a generalized class of holomorphic functions.
Cite
@article{arxiv.1002.3405,
title = {The Cauchy-Pompeiu integral formula in elliptic complex numbers},
author = {D. Alayon-Solarz and C. J. Vanegas},
journal= {arXiv preprint arXiv:1002.3405},
year = {2011}
}
Comments
This is a preprint whose final and definitive version has been accepted for publication in Complex Variables and Elliptic Equations