## March 22, 2009

### Special Function Invocation

O Hive Mind, o Lazy Web, Urania's child, I invoke thee! Is there a name for the function $f_n(\theta) = \sum_{k=0}^{n}{{n \choose k} \theta^k {(1-\theta)}^{n-k} \log{k!}}$ i.e., for $\mathbb{E}[\log{X!}]$ when $X$ is binomially distributed?

Posted at March 22, 2009 21:52 | permanent link