An episode starring the residue theorem in the history of elliptic functions

An episode starring the residue theorem in the history of elliptic functions

In this paper we explain how the Residue Theorem was used -perhaps for the rst time- to determine the Laurent series development of an elliptic function. This great achievement in the history of Elliptic Functions is due to the French professors Briot and Bouquet. We also draw some conclusions on the role of the historical emergence of Complex Analysis, as a general theory, in the development of Elliptic Functions.

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Main Authors: Solanilla Chavarro, Leonardo, Tamayo Acevedo, Ana Celi, Pareja Ocampo, Gabriel Antonio
Format: Digital revista
Language:eng
Published: Universidad Nacional de Colombia - Sede Medellín - Facultad de Ciencias 2015
Online Access:https://revistas.unal.edu.co/index.php/rfc/article/view/50686
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spelling oai:www.revistas.unal.edu.co:article-506862018-06-10T00:25:59Z An episode starring the residue theorem in the history of elliptic functions Papel protagónico del teorema del residuo en un episodio de la historia de las funciones elípticas Solanilla Chavarro, Leonardo Tamayo Acevedo, Ana Celi Pareja Ocampo, Gabriel Antonio Elliptic functions Laurent series Residue Theorem Funciones elípticas series de Laurent Teorema del Residuo In this paper we explain how the Residue Theorem was used -perhaps for the rst time- to determine the Laurent series development of an elliptic function. This great achievement in the history of Elliptic Functions is due to the French professors Briot and Bouquet. We also draw some conclusions on the role of the historical emergence of Complex Analysis, as a general theory, in the development of Elliptic Functions. En este artículo se explica la manera cómo el Teorema del Residuo de la Variable Compleja fue usado -quizás por primera vez- para encontrar la serie de Laurent de una función elíptica. Este gran logro en la historia de las funciones elípticas se debe a los profesores franceses Briot y Bouquet. También se presentan algunas conclusiones sobre el surgimiento histórico del análisis complejo, como teoría general, y su influencia en el desarrollo de las funciones elípticas. Universidad Nacional de Colombia - Sede Medellín - Facultad de Ciencias 2015-01-01 info:eu-repo/semantics/article info:eu-repo/semantics/publishedVersion application/pdf https://revistas.unal.edu.co/index.php/rfc/article/view/50686 10.15446/rev.fac.cienc.v4n1.50686 Revista de la Facultad de Ciencias; Vol. 4 No. 1 (2015); 27-37 Revista de la Facultad de Ciencias; Vol. 4 Núm. 1 (2015); 27-37 2357-5549 0121-747X eng https://revistas.unal.edu.co/index.php/rfc/article/view/50686/52328 Derechos de autor 2015 Revista de la Facultad de Ciencias
institution UNAL
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country Colombia
countrycode CO
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access En linea
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region America del Sur
libraryname Sistema Nacional de Bibliotecas de la UNAL
language eng
format Digital
author Solanilla Chavarro, Leonardo
Tamayo Acevedo, Ana Celi
Pareja Ocampo, Gabriel Antonio
spellingShingle Solanilla Chavarro, Leonardo
Tamayo Acevedo, Ana Celi
Pareja Ocampo, Gabriel Antonio
An episode starring the residue theorem in the history of elliptic functions
author_facet Solanilla Chavarro, Leonardo
Tamayo Acevedo, Ana Celi
Pareja Ocampo, Gabriel Antonio
author_sort Solanilla Chavarro, Leonardo
title An episode starring the residue theorem in the history of elliptic functions
title_short An episode starring the residue theorem in the history of elliptic functions
title_full An episode starring the residue theorem in the history of elliptic functions
title_fullStr An episode starring the residue theorem in the history of elliptic functions
title_full_unstemmed An episode starring the residue theorem in the history of elliptic functions
title_sort episode starring the residue theorem in the history of elliptic functions
description In this paper we explain how the Residue Theorem was used -perhaps for the rst time- to determine the Laurent series development of an elliptic function. This great achievement in the history of Elliptic Functions is due to the French professors Briot and Bouquet. We also draw some conclusions on the role of the historical emergence of Complex Analysis, as a general theory, in the development of Elliptic Functions.
publisher Universidad Nacional de Colombia - Sede Medellín - Facultad de Ciencias
publishDate 2015
url https://revistas.unal.edu.co/index.php/rfc/article/view/50686
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