# 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 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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6. Zhabborov N.M., Otaboev T.U., Khursanov Sh.Ya. The Schwartz inequality and the Schwartz formula for *A*-analytical functions. Journal of Mathematical Sciences, Vol. 264, No. 6, pp. 703–714 (2022).

7. Zhabborov N.M., Otaboev T.U. The Cauchy theorem for *A*(*z*)-analytical functions. Uzb. Math. J., No. 1, pp. 15–18 (2014). (in Russian)

8. Zhabborov N.M., Otaboev T.U. An analog of the Cauchy integral formula for *A*-analytic functions. Uzb. Math. J., No. 4, pp. 50–59 (2016).(in Russian)

## 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