Which economic research articles or books use anthropological methods?
In economics, people usually use mathematics as an intermediary to understand some economic mechanisms that would be difficult to understand without maths. 
Economists usually focus more on mechanisms in an analytic way than some historical facts in these mechanisms. That's a little bit what it is said "homo economicus"

Youtube Lecture Link

This link could be interesting for you but I don't know really (and don't think) some mainstream orthodox economists interested in the link between anthropology and economics.