When a child inherits something from their parent, we say that the child Inherited that something. That's the child's perspective.
What is the word from the parent's perspective?
I've thought of bestow upon, or to transfer something, or to have something inherited by, but none of those convey the exact meaning - except for the last one of course, but that's way too cumbersome.
Note that I'm thinking of the general form of inheritance, as could be used, for example, in Object-Oriented programming; not necessarily limited to any biological children and parents, although answers specific to that situation are most welcome.