<p>This paper presents new details and properties of hyperbolic curves. It is given a detailed axiomatization of the integral of bicomplex functions following a parallel way similar to that in the case of (real) vector fields and the integral of complex functions. It is proved the bicomplex version of Cauchy’s Theorem for multiply–connected regions.</p>

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Integrals of Bicomplex Functions and Their Relationship with Hyperbolic Curves

  • M. E. Luna-Elizarrarás

摘要

This paper presents new details and properties of hyperbolic curves. It is given a detailed axiomatization of the integral of bicomplex functions following a parallel way similar to that in the case of (real) vector fields and the integral of complex functions. It is proved the bicomplex version of Cauchy’s Theorem for multiply–connected regions.