In this article we prove Cauchy-Riemann differential equations of complex functions. These theorems give necessary and sufficient condition for differentiable function.
@article{bwmeta1.element.doi-10_2478_v10037-009-0016-8, author = {Hiroshi Yamazaki and Yasunari Shidama and Yatsuka Nakamura and Chanapat Pacharapokin}, title = {The Cauchy-Riemann Differential Equations of Complex Functions}, journal = {Formalized Mathematics}, volume = {17}, year = {2009}, pages = {147-149}, language = {en}, url = {http://dml.mathdoc.fr/item/bwmeta1.element.doi-10_2478_v10037-009-0016-8} }
Hiroshi Yamazaki; Yasunari Shidama; Yatsuka Nakamura; Chanapat Pacharapokin. The Cauchy-Riemann Differential Equations of Complex Functions. Formalized Mathematics, Tome 17 (2009) pp. 147-149. http://gdmltest.u-ga.fr/item/bwmeta1.element.doi-10_2478_v10037-009-0016-8/
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