Can the same person play both the Product Owner role and the Scrum Master role?

Hi All 

Looking for some clarification on -  Can the same person play both the Product Owner role and the Scrum Master role? 

I saw the references that the Product Owner and the Scrum Master can be part of The Development Team but nothing about the Product Owner role and the Scrum Master role performed by the same person.

It's probably allowed but may not recommend.

Thoughts??

Thanks ...