Negative binomial series (source code)

= Negative binomial series
{title2=$\sum_{k\geq0}\binom{L+k}{k}z^k=(1-z)^{-L-1}$}

For a nonnegative integer $L$ and $|z|<1$, this specialization of the <binomial series> sums the normalizing coefficients of a <negative binomial distribution>.