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