Hi,
First of all the ROOT::Math::Vavilov class is provided in MathMore and you need to have a ROOT built with Mathmore. You can check if you have, it by doing :
root-config --has-mathmore
To build MathMore you ned to have a version of GSL installed in your system
Then you have two implementations of the abstract class ROOT::Math::Vavilov:
VavilovFast and VavilovAccurate. You can use them as following, the same applied for both: