Erf of conjugate is conjugate of erf

Theorem

The following formula holds: $$\mathrm{erf} \left( \overline{z} \right) = \overline{\mathrm{erf}(z)},$$ where $\mathrm{erf}$ denotes the error function and $\overline{z}$ denotes the complex conjugate.

References

• 1964: Milton Abramowitz and Irene A. Stegun: Handbook of mathematical functions ... (previous) ... (next): 7.1.10