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Slice regular functions of several octonionic variables
Author(s) -
Ren Guangbin,
Yang Ting
Publication year - 2020
Publication title -
mathematical methods in the applied sciences
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.719
H-Index - 65
eISSN - 1099-1476
pISSN - 0170-4214
DOI - 10.1002/mma.6344
Subject(s) - mathematics , holomorphic function , generalization , several complex variables , pure mathematics , focus (optics) , algebra over a field , extension (predicate logic) , mathematical analysis , computer science , physics , optics , programming language
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 ofO nwith 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.