The Cauchy-Riemann Differential Equations of Complex Functions

Hiroshi Yamazaki; Yasunari Shidama; Yatsuka Nakamura; Chanapat Pacharapokin

Formalized Mathematics (2009)

  • Volume: 17, Issue: 2, page 147-149
  • ISSN: 1426-2630

Abstract

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In this article we prove Cauchy-Riemann differential equations of complex functions. These theorems give necessary and sufficient condition for differentiable function.

How to cite

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Hiroshi Yamazaki, et al. "The Cauchy-Riemann Differential Equations of Complex Functions." Formalized Mathematics 17.2 (2009): 147-149. <http://eudml.org/doc/267148>.

@article{HiroshiYamazaki2009,
abstract = {In this article we prove Cauchy-Riemann differential equations of complex functions. These theorems give necessary and sufficient condition for differentiable function.},
author = {Hiroshi Yamazaki, Yasunari Shidama, Yatsuka Nakamura, Chanapat Pacharapokin},
journal = {Formalized Mathematics},
language = {eng},
number = {2},
pages = {147-149},
title = {The Cauchy-Riemann Differential Equations of Complex Functions},
url = {http://eudml.org/doc/267148},
volume = {17},
year = {2009},
}

TY - JOUR
AU - Hiroshi Yamazaki
AU - Yasunari Shidama
AU - Yatsuka Nakamura
AU - Chanapat Pacharapokin
TI - The Cauchy-Riemann Differential Equations of Complex Functions
JO - Formalized Mathematics
PY - 2009
VL - 17
IS - 2
SP - 147
EP - 149
AB - In this article we prove Cauchy-Riemann differential equations of complex functions. These theorems give necessary and sufficient condition for differentiable function.
LA - eng
UR - http://eudml.org/doc/267148
ER -

References

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