The Cauchy-Pompeiu integral formula in elliptic complex numbers

Details The Cauchy-Pompeiu integral formula in elliptic complex numbers The Cauchy-Pompeiu integral formula in elliptic complex numbers

2010-02-17

arxiv.org/abs/1002.3405v3

Mathematics

Complex Variables

This is a preprint whose final and definitive version has been accepted for publication in Complex Variables and Elliptic Equa

Scientific paper

10.1080/17476933.2010.534155

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.

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