Qualitative analysis of approximations of functions of a complex variable by Taylor series
The present work has been analysed graphically the approximations as Taylor series of functions of a complex variable, using the domain coloring. In this method each point is coloring according to the value of range. Functions of a complex variable have a property to associate one point of the plane...
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| Format: | Online |
| Language: | English |
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Universidade Estadual de Campinas
2019
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| Online Access: | https://econtents.sbu.unicamp.br/eventos/index.php/pibic/article/view/889 |
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| author | Dentello, Lucas José Muñoz Nacbar, Denis Rafael |
| author_facet | Dentello, Lucas José Muñoz Nacbar, Denis Rafael |
| author_sort | Dentello, Lucas José Muñoz |
| collection | Portal de Eventos Científicos da UNICAMP |
| container_reference | Revista dos Trabalhos de Iniciação Científica da UNICAMP; n. 26 (2018): Congresso de Iniciação Científica Unicamp |
| description | The present work has been analysed graphically the approximations as Taylor series of functions of a complex variable, using the domain coloring. In this method each point is coloring according to the value of range. Functions of a complex variable have a property to associate one point of the plane other point of the plane, what describe them as vectorial functions from the complex plane to the complex plane. A complex function is called a holomorphic function in a region if is differentiable in all points of that region. Holomorphic functions can be described as power series. |
| first_indexed | 2025-10-08T13:52:29Z |
| format | Online |
| id | ojs-article-889 |
| institution | Universidade Estadual de Campinas |
| issn | 2596-1969 |
| language | eng |
| last_indexed | 2025-10-08T13:52:29Z |
| publishDate | 2019 |
| publisher | Universidade Estadual de Campinas |
| record_format | ojs |
| spelling | ojs-article-8892025-09-26T14:32:30Z Qualitative analysis of approximations of functions of a complex variable by Taylor series Dentello, Lucas José Muñoz Nacbar, Denis Rafael Complex variables Domain coloring Taylor series. The present work has been analysed graphically the approximations as Taylor series of functions of a complex variable, using the domain coloring. In this method each point is coloring according to the value of range. Functions of a complex variable have a property to associate one point of the plane other point of the plane, what describe them as vectorial functions from the complex plane to the complex plane. A complex function is called a holomorphic function in a region if is differentiable in all points of that region. Holomorphic functions can be described as power series. Universidade Estadual de Campinas 2019-02-12 info:eu-repo/semantics/article info:eu-repo/semantics/publishedVersion Artigo de convidado application/pdf https://econtents.sbu.unicamp.br/eventos/index.php/pibic/article/view/889 10.20396/revpibic262018889 Revista dos Trabalhos de Iniciação Científica da UNICAMP; n. 26 (2018): Congresso de Iniciação Científica Unicamp 2596-1969 eng https://econtents.sbu.unicamp.br/eventos/index.php/pibic/article/view/889/959 Copyright (c) 2019 Lucas José Muñoz Dentello, Denis Rafael Nacbar http://creativecommons.org/licenses/by/4.0 |
| spellingShingle | Dentello, Lucas José Muñoz Nacbar, Denis Rafael Complex variables Domain coloring Taylor series. Qualitative analysis of approximations of functions of a complex variable by Taylor series |
| title | Qualitative analysis of approximations of functions of a complex variable by Taylor series |
| title_full | Qualitative analysis of approximations of functions of a complex variable by Taylor series |
| title_fullStr | Qualitative analysis of approximations of functions of a complex variable by Taylor series |
| title_full_unstemmed | Qualitative analysis of approximations of functions of a complex variable by Taylor series |
| title_short | Qualitative analysis of approximations of functions of a complex variable by Taylor series |
| title_sort | qualitative analysis of approximations of functions of a complex variable by taylor series |
| topic | Complex variables Domain coloring Taylor series. |
| url | https://econtents.sbu.unicamp.br/eventos/index.php/pibic/article/view/889 |
| work_keys_str_mv | AT dentellolucasjosemunoz qualitativeanalysisofapproximationsoffunctionsofacomplexvariablebytaylorseries AT nacbardenisrafael qualitativeanalysisofapproximationsoffunctionsofacomplexvariablebytaylorseries |
