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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Bibliographic Details
Main Authors: Dentello, Lucas José Muñoz, Nacbar, Denis Rafael
Format: Online
Language:English
Published: 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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Summary: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.
ISSN:2596-1969