Difference between revisions of "Error function is odd"
From specialfunctionswiki
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$$\mathrm{erf}(-z)=-\mathrm{erf}(z),$$ | $$\mathrm{erf}(-z)=-\mathrm{erf}(z),$$ | ||
where $\mathrm{erf}$ denotes the [[error function]] (i.e. $\mathrm{erf}$ is an [[odd function]]). | where $\mathrm{erf}$ denotes the [[error function]] (i.e. $\mathrm{erf}$ is an [[odd function]]). | ||
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| − | + | ==Proof== | |
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==References== | ==References== | ||
* {{BookReference|Handbook of mathematical functions|1964|Milton Abramowitz|author2=Irene A. Stegun|prev=findme|next=Erf of conjugate is conjugate of erf}}: 7.1.9 | * {{BookReference|Handbook of mathematical functions|1964|Milton Abramowitz|author2=Irene A. Stegun|prev=findme|next=Erf of conjugate is conjugate of erf}}: 7.1.9 | ||
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| + | [[Category:Theorem]] | ||
| + | [[Category:Unproven]] | ||
Revision as of 03:53, 3 October 2016
Theorem
The following formula holds: $$\mathrm{erf}(-z)=-\mathrm{erf}(z),$$ where $\mathrm{erf}$ denotes the error function (i.e. $\mathrm{erf}$ is an odd function).
Proof
References
- 1964: Milton Abramowitz and Irene A. Stegun: Handbook of mathematical functions ... (previous) ... (next): 7.1.9
