Bulletin of National University of Uzbekistan: Mathematics and Natural Sciences
Abstract
In this paper, we define a separately A-analytic and an A-analytic function of several variables as a solution of system of equations of Beltrami in the space ℂn. It is proved an analogue of the Cauchy integral formula for an A-analytic function of several variables. It is proved a theorem on the expansion of an A-analytic function of several variables into a multiple series. When the function is bounded, it is proved an analogue of the Hartogs’ theorem for A-analytic functions of several variables.
First Page
27
Last Page
38
References
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Recommended Citation
Otaboev, Tolib
(2022)
"On the Hartogs theorem for A-analytic functions in ℂn,"
Bulletin of National University of Uzbekistan: Mathematics and Natural Sciences: Vol. 5:
Iss.
1, Article 2.
DOI: https://doi.org/10.56017/2181-1318.1186