- Conference date: 7–12 June 2009
- Location: Sozopol (Bulgaria)
The algebra of bicomplex numbers and the corresponding bicomplex holomorphic functions are well known ( and others). The hyperbolic bicomplex numbers were used by Dominic Rochon in different aspects (for instance ). The algebra of double‐complex numbers (in the sense of ) gives a parallel treatement closely related with the classical theory of two complex variables (to see ). The double‐complex holomorphicity and its fundamental equations were studied in  and . In this paper we consider hyperbolic double‐complex functions. The corresponding hyperbolic analogous of the double‐complex Cauchy‐Riemann system and the double‐complex Laplacian are obtained. Some perspectives are described.
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