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http://hdl.handle.net/2445/198463
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DC Field | Value | Language |
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dc.contributor.advisor | Massaneda Clares, Francesc Xavier | - |
dc.contributor.author | Dalmau Ribas, Emma | - |
dc.date.accessioned | 2023-05-25T10:25:04Z | - |
dc.date.available | 2023-05-25T10:25:04Z | - |
dc.date.issued | 2023-01-21 | - |
dc.identifier.uri | http://hdl.handle.net/2445/198463 | - |
dc.description | Treballs Finals de Grau de Matemàtiques, Facultat de Matemàtiques, Universitat de Barcelona, Any: 2023, Director: Francesc Xavier Massaneda Clares | ca |
dc.description.abstract | [en] Around the year 1924, Hungarian mathematician Gábor Szegő found that the zeros of the $n$th partial sums of the exponential series, rescaled by $n$, accumulate on the curve $S=\left\{z \in \overline{\mathbb{D}}:\left|e^{1-z} z\right|=1\right\}$. Not only that, but he showed that this zeros are uniformly distributed around $S$ according to the variation of the argument of the entire function $h(z)=e^{1-z} z$. In this thesis we show these results and other later discoveries that specify the velocity of convergence and the distance from the zeros to $S$. | ca |
dc.format.extent | 52 p. | - |
dc.format.mimetype | application/pdf | - |
dc.language.iso | cat | ca |
dc.rights | cc-by-nc-nd (c) Emma Dalmau Ribas, 2023 | - |
dc.rights.uri | http://creativecommons.org/licenses/by-nc-nd/3.0/es/ | * |
dc.source | Treballs Finals de Grau (TFG) - Matemàtiques | - |
dc.subject.classification | Teoria geomètrica de funcions | ca |
dc.subject.classification | Treballs de fi de grau | - |
dc.subject.classification | Funcions enteres | ca |
dc.subject.other | Geometric function theory | en |
dc.subject.other | Bachelor's theses | - |
dc.subject.other | Entire functions | en |
dc.title | La corba de Szegő | ca |
dc.type | info:eu-repo/semantics/bachelorThesis | ca |
dc.rights.accessRights | info:eu-repo/semantics/openAccess | ca |
Appears in Collections: | Treballs Finals de Grau (TFG) - Matemàtiques |
Files in This Item:
File | Description | Size | Format | |
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tfg_dalmau_ribas_emma.pdf | Memòria | 874.35 kB | Adobe PDF | View/Open |
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