Python Pandas merge samed name columns in a dataframe

You could use groupby on axis=1, and experiment with something like

>>> def sjoin(x): return ';'.join(x[x.notnull()].astype(str))
>>> df.groupby(level=0, axis=1).apply(lambda x: x.apply(sjoin, axis=1))
  ID   Name        a  b
0  1  test1      1.0  a
1  2  test2      2.0  a
2  3  test3  2.0;3.0  b
3  4  test4      4.0  b

where instead of using .astype(str), you could use whatever formatting operator you wanted.