The Cauchy-Pompeiu integral formula in elliptic complex numbers

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. © 2012 Copyright Taylor and Francis Group, LLC.

Año de publicación:

2012

Keywords:

• parameter-depending elliptic complex numbers
• Cauchy-Pompeiu Formula

Fuente:

scopus