Difference between revisions of "Complex conjugate of argument of error function"

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==Theorem==
 
==Theorem==
 
The following formula holds:
 
The following formula holds:
$$\mathrm{erf}(\overline{z}) = \overline{\mathrm{erf}}(z),$$
+
$$\mathrm{erf}(\overline{z}) = \overline{\mathrm{erf}(z)},$$
 
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.

Proof

References