in reply to Want for a name?
In addition to your question for a name you also been offered a generalization of the form to process not only two but n elements of the list at a time. But this is only one possible way to generalize. You could also think of it as applying an operation to each element of a list and a shifted version of the list, like this:
1 2 3 4 5 6 7 8 | | | | | | | 1 2 3 4 5 6 7 8
In this case the offset between the list and its shifted version would be an extra parameter and - as in autocorrelation - the name would be automap .