Difference between revisions of "Derivative of erfi"

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(Created page with "==Theorem== The following formula holds: $$\dfrac{\mathrm{d}}{\mathrm{d}z} \mathrm{erfi}(z) = \dfrac{2}{\sqrt{\pi}} e^{z^2},$$ where $\mathrm{erfi}$ denotes the erfi|imagina...")
 
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Latest revision as of 23:12, 23 October 2016

Theorem

The following formula holds: $$\dfrac{\mathrm{d}}{\mathrm{d}z} \mathrm{erfi}(z) = \dfrac{2}{\sqrt{\pi}} e^{z^2},$$ where $\mathrm{erfi}$ denotes the imaginary error function, $\pi$ denotes pi, and $e^{z^2}$ denotes the exponential function.

Proof

References