Formula:3230

Digital Library of Mathematical Functions ID 8.7.E6

${\displaystyle{\displaystyle\Gamma\left(a,x\right)=x^{a}e^{-x}\sum_{n=0}^{\infty}\frac{L^{(a)}_{n}\left(x\right)}{n+1},}}$

Constraint(s)

${\displaystyle{\displaystyle x>0}}$

Symbols List

• ${\displaystyle{\displaystyle L^{(\NVar{\alpha})}_{\NVar{n}}\left(\NVar{x}\right)}}$: Laguerre (or generalized Laguerre) polynomial
• ${\displaystyle{\displaystyle\mathrm{e}}}$: base of natural logarithm
• ${\displaystyle{\displaystyle\Gamma\left(\NVar{a},\NVar{z}\right)}}$: incomplete gamma function
• ${\displaystyle{\displaystyle x}}$: real variable
• ${\displaystyle{\displaystyle a}}$: parameter
• ${\displaystyle{\displaystyle n}}$: nonnegative integer
 

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