Difference between revisions of "Erfc"
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(Created page with "The complementary error function $\mathrm{erfc}$ is defined by the formula $$\mathrm{erfc}(x)=1-\mathrm{erf}(x),$$ where $\mathrm{erf}$ denotes the error function.") |
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The complementary error function $\mathrm{erfc}$ is defined by the formula | The complementary error function $\mathrm{erfc}$ is defined by the formula | ||
| − | $$\mathrm{erfc}( | + | $$\mathrm{erfc}(z)=1-\mathrm{erf}(z),$$ |
where $\mathrm{erf}$ denotes the [[error function]]. | where $\mathrm{erf}$ denotes the [[error function]]. | ||
| + | |||
| + | <div align="center"> | ||
| + | <gallery> | ||
| + | File:Erfcplot.png|Graph of $\mathrm{erfc}$. | ||
| + | File:Complexerfcplot.png|[[Domain coloring]] of $\mathrm{erfc}$. | ||
| + | </gallery> | ||
| + | </div> | ||
| + | |||
| + | ==References== | ||
| + | * {{BookReference|Handbook of mathematical functions|1964|Milton Abramowitz|author2=Irene A. Stegun|prev=Error function|next=findme}}: 7.1.2 | ||
| + | |||
| + | {{:Error functions footer}} | ||
| + | |||
| + | [[Category:SpecialFunction]] | ||
Latest revision as of 21:56, 6 July 2016
The complementary error function $\mathrm{erfc}$ is defined by the formula $$\mathrm{erfc}(z)=1-\mathrm{erf}(z),$$ where $\mathrm{erf}$ denotes the error function.
Graph of $\mathrm{erfc}$.
Domain coloring of $\mathrm{erfc}$.
References
- 1964: Milton Abramowitz and Irene A. Stegun: Handbook of mathematical functions ... (previous) ... (next): 7.1.2
