11/24/2015, 07:00 AM
I believe I found a slightly smaller or cleaner closed-form for the above function
\(
{}^{3}W(v) = \log\left(\sqrt[3]{e^v}_s\right) = \sum_{k=0}^{\infty}
\frac{v^k}{k!} \sum_{j=0}^{k-1}
{k-1 \choose j}(k-j-1)^j(-k)^{k-j-1}
\)
Regards,
Andrew Robbins
\(
{}^{3}W(v) = \log\left(\sqrt[3]{e^v}_s\right) = \sum_{k=0}^{\infty}
\frac{v^k}{k!} \sum_{j=0}^{k-1}
{k-1 \choose j}(k-j-1)^j(-k)^{k-j-1}
\)
Regards,
Andrew Robbins