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Regular functions for different kinds of conjugations in the bicomplex number field. (English) Zbl 1376.30037

Summary: In this paper, using three types of conjugations in a bicomplex number filed \(\mathcal{T}\), we provide some basic definitions of bicomplex number and definitions of regular functions for each differential operators. And we investigate the corresponding Cauchy-Riemann systems and the corresponding Cauchy theorems in \(\mathcal{T}\) in Clifford analysis.

MSC:

30G35 Functions of hypercomplex variables and generalized variables
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