Difference between revisions of "Relationship between the exponential integral and upper incomplete gamma function"
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The following formula holds: | The following formula holds: | ||
$$E_n(z)=z^{n-1}\Gamma(1-n,z),$$ | $$E_n(z)=z^{n-1}\Gamma(1-n,z),$$ | ||
| − | where $E_n$ denotes the [[exponential integral]] and $\Gamma$ denotes the [[incomplete gamma|incomplete gamma function]]. | + | where $E_n$ denotes the [[exponential integral E]] and $\Gamma$ denotes the [[incomplete gamma|incomplete gamma function]]. |
==Proof== | ==Proof== | ||
Latest revision as of 00:16, 8 August 2016
Theorem
The following formula holds: $$E_n(z)=z^{n-1}\Gamma(1-n,z),$$ where $E_n$ denotes the exponential integral E and $\Gamma$ denotes the incomplete gamma function.
