Does the field of "hypercomplex numbers" (*C; a+bi with a,b hyperreal numbers) satisfy the transfer principle? Are all of the arithmetical facts with complex numbers true with the hypercomplex numbers?(adsbygoogle = window.adsbygoogle || []).push({});

One might be able to construct a nonstandard complex analysis with the hypercomplex numbers, with identical results as as standard complex analysis, with the standard part function st(z) = st(Re(z)) + i st(Im(z)) used to define complex derivatives and integrals.

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# Hypercomplex numbers (a+bi with a,b hyperreal)

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