Difference between revisions of "Erfi"
From specialfunctionswiki
(Created page with "The imaginary error function $\mathrm{erfi}$ is defined by $$\mathrm{erfi}(z)=-i\mathrm{erf}(iz),$$ where $\mathrm{erf}$ denotes the error function.") |
|||
| (7 intermediate revisions by the same user not shown) | |||
| Line 2: | Line 2: | ||
$$\mathrm{erfi}(z)=-i\mathrm{erf}(iz),$$ | $$\mathrm{erfi}(z)=-i\mathrm{erf}(iz),$$ | ||
where $\mathrm{erf}$ denotes the [[error function]]. | where $\mathrm{erf}$ denotes the [[error function]]. | ||
| + | |||
| + | <div align="center"> | ||
| + | <gallery> | ||
| + | File:Erfiplot.png|Graph of $\mathrm{erfi}$. | ||
| + | File:Complexerfiplot.png|[[Domain coloring]] of $\mathrm{erfi}$. | ||
| + | </gallery> | ||
| + | </div> | ||
| + | |||
| + | =Properties= | ||
| + | [[Derivative of erfi]]<br /> | ||
| + | |||
| + | {{:Error functions footer}} | ||
| + | |||
| + | [[Category:SpecialFunction]] | ||
Latest revision as of 23:10, 23 October 2016
The imaginary error function $\mathrm{erfi}$ is defined by $$\mathrm{erfi}(z)=-i\mathrm{erf}(iz),$$ where $\mathrm{erf}$ denotes the error function.
Graph of $\mathrm{erfi}$.
Domain coloring of $\mathrm{erfi}$.
