Let two bounded simply connected domains $D\subset {\mathbb C}_{z}$, $G\subset {\mathbb C}_{w}$, and two locally regular compact subsets $E\subset D,\, \, \, F\subset G$ be given. If $f(z,w)$ is a separately analytic function with finitely many singular points in each section of $D\times \left\{w^{0} \right\}$ and $\left\{z^{0} \right\}\times G$ for any $(z^{0} ,w^{0} )\in E\times F$ on the set $X=(D\times F)\cup (E\times G),$ then it extends holomorphically to the domain \[\hat{X}=\left\{(z,w)\in D\times G:\, \, \, \omega^{*}(z,E,D)+\omega^{*}(w,F,G)
| Mualliflar | Imomkulov, S., Rasulov, K. |
|---|---|
| Jurnal | O‘zbekiston matematika jurnali |
| Nashriyot | Ўзбекистон Республикаси ФА Математика институти |
| ISSN | 2010-7269 |
| Nashr sanasi | 2026-03-25 |
| Jild | 70 |
| Son | 1 |
| Til | Ingliz |
| Ilmiy soha | Fizika-matematika |
| DOI | 10.29229/uzmj.2026-1-9 |
| Indeksga qo‘shilgan | 2026-08-26 |
DOI: 10.29229/uzmj.2026-1-9 · Maqolaning asl sahifasi
Hartogs's phenomena, separately analytic functions, harmonic measure, singular set
| APA | Imomkulov, S., & Rasulov, K. (2026). Extension of separately analytic functions with thin singularities on one-dimensional parallel sections. O‘zbekiston matematika jurnali, 70(1). https://doi.org/10.29229/uzmj.2026-1-9 |
|---|---|
| GOST (OAK) | Imomkulov, S., Rasulov, K. Extension of separately analytic functions with thin singularities on one-dimensional parallel sections // O‘zbekiston matematika jurnali. – 2026. – T. 70, № 1. – DOI: 10.29229/uzmj.2026-1-9. |
| MLA | Imomkulov, S., and Rasulov, K. “Extension of separately analytic functions with thin singularities on one-dimensional parallel sections.” O‘zbekiston matematika jurnali, 70(1), 2026. https://doi.org/10.29229/uzmj.2026-1-9 |
| Chicago | Imomkulov, S., and Rasulov, K. “Extension of separately analytic functions with thin singularities on one-dimensional parallel sections.” O‘zbekiston matematika jurnali, 70(1) (2026). https://doi.org/10.29229/uzmj.2026-1-9 |
| Harvard | Imomkulov, S., and Rasulov, K (2026) ‘Extension of separately analytic functions with thin singularities on one-dimensional parallel sections’, O‘zbekiston matematika jurnali, 70(1). https://doi.org/10.29229/uzmj.2026-1-9 |
| BibTeX | @article{imomkulovs2026,
title = {Extension of separately analytic functions with thin singularities on one-dimensional parallel sections},
author = {Imomkulov, S. and Rasulov, K.},
journal = {O‘zbekiston matematika jurnali},
year = {2026},
volume = {70},
number = {1},
doi = {10.29229/uzmj.2026-1-9},
url = {https://doi.org/10.29229/uzmj.2026-1-9}
} |
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