Difference between revisions of "Lower incomplete gamma"
From specialfunctionswiki
(Created page with "The lower incomplete gamma function is defined for $\mathrm{Re}(a)>0$ by $$\gamma(a,x)=\displaystyle\int_0^x e^{-t}t^{a-1}dt.$$ A single-valued analytic function of $a$ and $x...") |
|||
| Line 6: | Line 6: | ||
<div align="center"> | <div align="center"> | ||
<gallery> | <gallery> | ||
| − | File:Lowerincompletegamma(abramowitzandstegun).jpg|The $\gamma^*$ function. | + | File:Lowerincompletegamma(abramowitzandstegun).jpg|The $\gamma^*$ function from Abramowitz&Stegun. |
</gallery> | </gallery> | ||
</div> | </div> | ||
Revision as of 18:47, 28 June 2015
The lower incomplete gamma function is defined for $\mathrm{Re}(a)>0$ by $$\gamma(a,x)=\displaystyle\int_0^x e^{-t}t^{a-1}dt.$$ A single-valued analytic function of $a$ and $x$ can be defined as $$\gamma^*(a,x)=\dfrac{x^{-a}}{\Gamma(a)} \gamma(a,x).$$
The $\gamma^*$ function from Abramowitz&Stegun.
.jpg)
