
Mappings by the complex exponential function
Author(s) -
Juan Gabriel Triana,
J.A. Fuentes,
Pérez Ramírez
Publication year - 2020
Publication title -
journal of physics. conference series
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.21
H-Index - 85
eISSN - 1742-6596
pISSN - 1742-6588
DOI - 10.1088/1742-6596/1674/1/012006
Subject(s) - conformal map , complex plane , exponential function , transformation (genetics) , simple (philosophy) , domain (mathematical analysis) , set (abstract data type) , function (biology) , visualization , analytic function , plane (geometry) , exponential polynomial , exponential formula , mathematics , computer science , pure mathematics , algebra over a field , algorithm , double exponential function , mathematical analysis , geometry , artificial intelligence , biochemistry , chemistry , philosophy , epistemology , evolutionary biology , biology , gene , programming language
In mathematics, engineering, and physics, some problems can be solved through complex functions; in many cases, with geometric inconveniences or complicated domains. Conformal mappings are essential to transform a complicated analytic domain onto a simple domain. Physical approaches to visualization of complex functions can be used to represent conformal mappings, here we use the transformation of regions of the complex plane. This paper provides a graphical overview of the transformation of a set of regions by the complex exponential function.