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Quantum operators of Fueter’s type and transcendental hypercomplex. (English) Zbl 1143.30316

The paper contains well-known properties of the 4-dimensional Cauchy-Riemann operator. For instance elementary functions are deduced. Moivre’s formula is obtained also for octonions.
Reviewer’s remark: Nevertheless, the results are not new. The enormous progress in the last 20 years is almost not considered.

MSC:

30G99 Generalized function theory
30E99 Miscellaneous topics of analysis in the complex plane
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