Is there any - dynamic function pointer, which calls a function acording to string represeting the function name.

The previous answer is correct. Just thought I'd add that you can also create a delegate to store a "pointer" to a function. You can pass that around just like any other variable. Here is an example:

// The class with the function.
public class MyClass
{
    
    // The function you want to call.
    public int FunctionName(int val1, int val2)
    {
        return val1 + val2;
    }
    
}

// A class that interacts with MyClass.
public class SomeOtherClass
{
    
    // Defines the method signature.
    private delegate int IntDelegate(int val1, int val2);
    
    // A variable to hold the function.
    private IntDelegate storedFunction = null;
    
    // Grabs a reference to the function and stores it for later use.
    public void StoreFunctionPointer(MyClass myInstance)
    {
        storedFunction = myInstance.FunctionName;
    }
    
    // Calls the stored function.
    public int CallStoredFunction(int val1, int val2)
    {
        return storedFunction(val1, val2);
    }
    
}

If you wanted, you could then store those function pointers in a dictionary to look them up using a string key.