Function complex-differentiable at a point - Revision history

Vipul: 5 revisions

2008-05-18T19:12:34Z

5 revisions

← Older revision	Revision as of 19:12, 18 May 2008
(No difference)

Vipul: /* Weaker properties */

2008-04-18T20:16:22Z

Weaker properties

← Older revision		Revision as of 20:16, 18 April 2008
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	* [[Function real-differentiable at a point]]		* [[Function real-differentiable at a point]]
	* [[Function satisfying Cauchy-Riemann differential equations at a point]]		* [[Function satisfying Cauchy-Riemann differential equations at a point]]
			* [[Function continuous at a point]]

Vipul at 20:16, 18 April 2008

2008-04-18T20:16:02Z

← Older revision		Revision as of 20:16, 18 April 2008
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	===In several dimensions===		===In several dimensions===

			==Relation with other properties==

			===Stronger properties===

			* [[Function holomorphic at a point]]

			===Weaker properties===

			* [[Function real-differentiable at a point]]
			* [[Function satisfying Cauchy-Riemann differential equations at a point]]

Vipul at 21:06, 16 April 2008

2008-04-16T21:06:09Z

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	{{at-point function property}}		{{at-point function property\|holomorphic function}}
	==Definition==		==Definition==

Vipul at 21:04, 16 April 2008

2008-04-16T21:04:11Z

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			{{at-point function property}}
	==Definition==		==Definition==

Vipul: New page: ==Definition== ===In one dimension=== Let $U$ be a domain in $\mathbb{C}$ and $f:U \to \mathbb{C}$ be a function. Let $z_0 \in U$ . We say ...

2008-04-16T20:58:39Z

New page: ==Definition== ===In one dimension=== Let <math>U</math> be a domain in <math>\mathbb{C}</math> and <math>f:U \to \mathbb{C}</math> be a function. Let <math>z_0 \in U</math>. We say ...

New page

==Definition==

===In one dimension===

Let <math>U</math> be a [[domain]] in <math>\mathbb{C}</math> and <math>f:U \to \mathbb{C}</math> be a function. Let <math>z_0 \in U</math>. We say that <math>f</math> is '''complex-differentiable''' at <math>z_0</math> if the [[complex differential]] of <math>f</math> at <math>z_0</math> is well-defined.

===In several dimensions===