## Bulletin of National University of Uzbekistan: Mathematics and Natural Sciences

#### Article Title

### On the Hartogs theorem for *A*-analytic functions in ℂ^{n}

#### 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 ℂ^{n}. 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 ℂ^{n},"
*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