Can static functions be virtual in C++?

In C++, a static member function of a class cannot be virtual. For example, below program gives compilation error.

#include<iostream>

using namespace std;    
 
class Test
{
   public:
      // Error: Virtual member functions cannot be static      
      virtual static void fun()  { }
};

Also, static member function cannot be const and volatile. Following code also fails in compilation.

#include<iostream>

using namespace std;    
 
class Test
{
   public:
      // Error: Static member function cannot be const
      static void fun() const { } 
};

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