Difference between revisions of "Lower incomplete gamma"
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(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...") |
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| − | File:Lowerincompletegamma(abramowitzandstegun).jpg|The $\gamma^*$ function. | + | File:Lowerincompletegamma(abramowitzandstegun).jpg|The $\gamma^*$ function from Abramowitz&Stegun. |
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Latest revision as of 18:32, 24 May 2016
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.
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