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arXiv · 1002.3405

The Cauchy-Pompeiu integral formula in elliptic complex numbers

D. Alayon-Solarz·C. J. Vanegas
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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 $X^2 + βX + α$ where $α$ and $β$ are real numbers. As a consequence, a Cauchy integral representation formula is obtained for a generalized class of holomorphic functions.

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BibTeXRIS

D. Alayon-Solarz, C. J. Vanegas. 2011-08-09. The Cauchy-Pompeiu integral formula in elliptic complex numbers. https://doi.org/10.1080/17476933.2010.534155

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