diff options
Diffstat (limited to 'algorithms.tex')
-rw-r--r-- | algorithms.tex | 2 |
1 files changed, 2 insertions, 0 deletions
diff --git a/algorithms.tex b/algorithms.tex index 067d99a5a..474a18455 100644 --- a/algorithms.tex +++ b/algorithms.tex @@ -2958,6 +2958,7 @@ Here, we choose the free parameter $a$ to be an integer. According to \cite[Section 2.6]{Pugh04}, the relative error is bounded by $a^{-1/2} (2\pi)^{-a-1/2}$ for $a \ge 3$ and $\Re(z) \ge 0$. +See also \cite{Smith01}. \subsection{The Riemann Zeta function} @@ -4031,6 +4032,7 @@ where: R(n) = \int_n^{\infty} \frac{\exp(-u)}{u} du \sim \frac{\exp(-n)}{n} \sum_{k=0}^{\infty} \frac{k!}{(-n)^k}. \] This identity is attributed to Sweeney by Brent \cite{Brent78}. +(See also \cite{Smith01}.) We have $S(n) = _2 F_2(1,1;2,2;-n)$ and $R(n) = {\rm Ei}(1, n)$. \medskip |