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Slice regular functions of several octonionic variables

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A slice theory of several octonionic variables is introduced in the article as a generalization of the holomorphic theory of several complex variables. Our new trick is to focus our… Click to show full abstract

A slice theory of several octonionic variables is introduced in the article as a generalization of the holomorphic theory of several complex variables. Our new trick is to focus our attentions on some subset of On with the same complex structures. In our setting, the Bochner‐Martinelli formula and the Hartogs extension theorems are established for slice functions of several octonionic variables.

Keywords: functions several; several octonionic; regular functions; octonionic variables; slice regular

Journal Title: Mathematical Methods in the Applied Sciences
Year Published: 2020

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