%0 Journal Article
%T The Cauchy-Pompeiu integral formula in elliptic complex numbers
%A D. Alayon-Solarz
%A C. J. Vanegas
%J Mathematics
%D 2010
%I arXiv
%R 10.1080/17476933.2010.534155
%X 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 $X^2 + \beta X + \alpha$ where $\alpha$ and $\beta$ are real numbers. As a consequence, a Cauchy integral representation formula is obtained for a generalized class of holomorphic functions.
%U http://arxiv.org/abs/1002.3405v3