Estimation for the logarithmic partial derivative and Wiman-Valiron theory in several complex variables
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arXiv
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| Hauptverfasser: | , , |
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| Format: | Preprint |
| Veröffentlicht: |
2025
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| _version_ | 1866912576896499712 |
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| author | Xu, Junfeng Majumder, Sujoy Sarkar, Nabadwip |
| author_facet | Xu, Junfeng Majumder, Sujoy Sarkar, Nabadwip |
| contents | The first objective of the paper is to estimate logarithmic partial derivative for meromorphic functions in several complex variables. Our estimations for logarithmic partial derivatives extend the results of Gundersen \cite{GG2} to the higher dimensions. The second objective of the paper is to study Wiman-Valiron theory into higher dimensions. The third objective of this paper is to study the growth of solutions of a class of complex partial differential equations and our obtained result is the extension of the result of Cao \cite{c2} from $\mathbb{C}$ to $\mathbb{C}^m$. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2509_07113 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Estimation for the logarithmic partial derivative and Wiman-Valiron theory in several complex variables Xu, Junfeng Majumder, Sujoy Sarkar, Nabadwip Complex Variables 32A20, 32A22 and 32H30 The first objective of the paper is to estimate logarithmic partial derivative for meromorphic functions in several complex variables. Our estimations for logarithmic partial derivatives extend the results of Gundersen \cite{GG2} to the higher dimensions. The second objective of the paper is to study Wiman-Valiron theory into higher dimensions. The third objective of this paper is to study the growth of solutions of a class of complex partial differential equations and our obtained result is the extension of the result of Cao \cite{c2} from $\mathbb{C}$ to $\mathbb{C}^m$. |
| title | Estimation for the logarithmic partial derivative and Wiman-Valiron theory in several complex variables |
| topic | Complex Variables 32A20, 32A22 and 32H30 |
| url | https://arxiv.org/abs/2509.07113 |