§8.15 Sums

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8.15.1		$\gamma\left(a,\lambda x\right)=\lambda^{a}\sum_{k=0}^{\infty}\gamma\left(a+k,x% \right)\frac{(1-\lambda)^{k}}{k!}.$
ⓘ Symbols: $!$ : factorial (as in $n!$ ), $\gamma\left(\NVar{a},\NVar{z}\right)$ : incomplete gamma function, $x$ : real variable, $a$ : parameter and $k$ : nonnegative integer Permalink: http://dlmf.nist.gov/8.15.E1 Encodings: TeX, pMML, png See also: Annotations for §8.15 and Ch.8

For sums of infinite series whose terms include incomplete gamma functions, see Prudnikov et al. (1986b, §5.2).