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| Main Author: | |
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| Format: | Preprint |
| Published: |
2024
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2403.17021 |
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| _version_ | 1866913283020161024 |
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| author | Mkrtchyan, Aleksandr |
| author_facet | Mkrtchyan, Aleksandr |
| contents | We consider the problem of continuability into a sectorial domain for multiple power series and prove the multivariate analog of the Le Roy-Lindelöf theorem, i.e. establish a connection between the growth of the holomorphic function interpolating the series coefficients in the imaginary subspace and the sectoral domain where the multiple power series is analytically continued to. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2403_17021 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Multivariate analog of the Le Roy-Lindelöf theorem about power series analytic continuation Mkrtchyan, Aleksandr Complex Variables We consider the problem of continuability into a sectorial domain for multiple power series and prove the multivariate analog of the Le Roy-Lindelöf theorem, i.e. establish a connection between the growth of the holomorphic function interpolating the series coefficients in the imaginary subspace and the sectoral domain where the multiple power series is analytically continued to. |
| title | Multivariate analog of the Le Roy-Lindelöf theorem about power series analytic continuation |
| topic | Complex Variables |
| url | https://arxiv.org/abs/2403.17021 |