Hyperbolic conformality in multidimensional hyperbolic spaces

In a previous work, the hyperbolic conformality for bicomplex functions was introduced, and it was proved that, with the adequate hypothesis, a bicomplex holomorphic function is hyperbolic conformal. The aim of this paper is to extend this idea to (Formula presented.), with (Formula presented.) the set of hyperbolic numbers. Thus, the fundaments of the analysis in (Formula presented.) are presented here, as well as the generalization of some geometric hyperbolic objects that were defined in the context of bicomplex analysis.