Title: Incomplete Gamma Function -- from Wolfram MathWorld
Open Graph Title: Incomplete Gamma Function -- from Wolfram MathWorld
X Title: Incomplete Gamma Function -- from Wolfram MathWorld
Description: The "complete" gamma function Gamma(a) can be generalized to the incomplete gamma function Gamma(a,x) such that Gamma(a)=Gamma(a,0). This "upper" incomplete gamma function is given by Gamma(a,x)=int_x^inftyt^(a-1)e^(-t)dt. (1) For a an integer n Gamma(n,x) = (n-1)!e^(-x)sum_(k=0)^(n-1)(x^k)/(k!) (2) = (n-1)!e^(-x)e_(n-1)(x), (3) where e_n(x) is the exponential sum function. It is implemented as Gamma[a, z] in the Wolfram Language. The special case of x=-1 can be...
Open Graph Description: The "complete" gamma function Gamma(a) can be generalized to the incomplete gamma function Gamma(a,x) such that Gamma(a)=Gamma(a,0). This "upper" incomplete gamma function is given by Gamma(a,x)=int_x^inftyt^(a-1)e^(-t)dt. (1) For a an integer n Gamma(n,x) = (n-1)!e^(-x)sum_(k=0)^(n-1)(x^k)/(k!) (2) = (n-1)!e^(-x)e_(n-1)(x), (3) where e_n(x) is the exponential sum function. It is implemented as Gamma[a, z] in the Wolfram Language. The special case of x=-1 can be...
X Description: The "complete" gamma function Gamma(a) can be generalized to the incomplete gamma function Gamma(a,x) such that Gamma(a)=Gamma(a,0). This "upper" incomplete gamma function is given by Gamma(a,x)=int_x^inftyt^(a-1)e^(-t)dt. (1) For a an integer n Gamma(n,x) = (n-1)!e^(-x)sum_(k=0)^(n-1)(x^k)/(k!) (2) = (n-1)!e^(-x)e_(n-1)(x), (3) where e_n(x) is the exponential sum function. It is implemented as Gamma[a, z] in the Wolfram Language. The special case of x=-1 can be...
Opengraph URL: https://mathworld.wolfram.com/IncompleteGammaFunction.html
Domain: mathworld.wolfram.com
| DC.Title | Incomplete Gamma Function |
| DC.Creator | Weisstein, Eric W. |
| DC.Description | The "complete" gamma function Gamma(a) can be generalized to the incomplete gamma function Gamma(a,x) such that Gamma(a)=Gamma(a,0). This "upper" incomplete gamma function is given by Gamma(a,x)=int_x^inftyt^(a-1)e^(-t)dt. (1) For a an integer n Gamma(n,x) = (n-1)!e^(-x)sum_(k=0)^(n-1)(x^k)/(k!) (2) = (n-1)!e^(-x)e_(n-1)(x), (3) where e_n(x) is the exponential sum function. It is implemented as Gamma[a, z] in the Wolfram Language. The special case of x=-1 can be... |
| DC.Date.Modified | 2019-03-14 |
| DC.Subject | 33B15 |
| DC.Rights | Copyright 1999-2026 Wolfram Research, Inc. See https://mathworld.wolfram.com/about/terms.html for a full terms of use statement. |
| DC.Format | text/html |
| DC.Identifier | https://mathworld.wolfram.com/IncompleteGammaFunction.html |
| DC.Language | en |
| DC.Publisher | Wolfram Research, Inc. |
| DC.Relation.IsPartOf | https://mathworld.wolfram.com/ |
| DC.Type | Text |
| Last-Modified | 2019-03-14 |
| og:image | https://mathworld.wolfram.com/images/socialmedia/share/ogimage_IncompleteGammaFunction.png |
| og:type | website |
| twitter:card | summary_large_image |
| twitter:image:src | https://mathworld.wolfram.com/images/socialmedia/share/ogimage_IncompleteGammaFunction.png |
| None | ie=edge |
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