Difference between revisions of "Complex conjugate of argument of error function"
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| − | + | ==Theorem== | |
| − | + | The following formula holds: | |
| − | $$\mathrm{erf}(\overline{z}) = \overline{\mathrm{erf | + | $$\mathrm{erf}(\overline{z}) = \overline{\mathrm{erf}(z)},$$ |
where $\mathrm{erf}$ denotes the [[error function]] and $\overline{z}$ denotes the [[complex conjugate]]. | where $\mathrm{erf}$ denotes the [[error function]] and $\overline{z}$ denotes the [[complex conjugate]]. | ||
| − | + | ||
| − | + | ==Proof== | |
| − | + | ||
| − | + | ==References== | |
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| + | [[Category:Theorem]] | ||
| + | [[Category:Unproven]] | ||
Latest revision as of 00:22, 8 August 2016
Theorem
The following formula holds: $$\mathrm{erf}(\overline{z}) = \overline{\mathrm{erf}(z)},$$ where $\mathrm{erf}$ denotes the error function and $\overline{z}$ denotes the complex conjugate.
