No difference. There are several possible constructors of map and you are using this one in both cases:
map( std::initializer_list<value_type> init,
const Compare& comp = Compare(),
const Allocator& alloc = Allocator() );
value_type
is of type std::pair<..,..>
and built from either {FunctionID.something, "something"}
or std::make_pair(FunctionID.something, "something")
.
You could also write:
static std::map<FunctionID, std::string> enum_string_representation {
std::make_pair(FunctionID.something, "something")
};