the latest Maple (March) 2015 release has new formulas for Second and Third order Greeks for options (derivatives). Here is the description in the Maple Finance 2015 PDF.
I am also attaching this PDF. The PDF describes Second and Third order Greeks which I cannot find in Mathematica 10 documentation. I have found First order Greeks in Mathematica 10, but not Second and Third order. Does Mathematica 10 have these Second and Third order Greeks built in?
Vanna, Charm, Vera, Vanna, Vomma, Veta
Speed, Zomma, Color, Ultima
If Mathematica 10 does not have these Greeks, will you implement them in the future? If you don't have the Second and Third order Greeks built in, you should add them. Otherwise, Maple will be ahead of Mathematica and we don't want that. If Mathematica falls behind Maple, Mathematica will look bad.