Pandas create a frame whose entries are the value of a function applied to the respective entries of other DataFrames

Question

I have tree frames, lets say:

ID    A  B   | ID    A B  | ID    A B
john  *  1   | john  # 2  | john  @ 3
paul  1  1   | paul  2 2  | paul  3 3
jones 1  1   |