• closes BUG: period[h] + column splicing is not work #60273 (Replace xxxx with the GitHub issue number)
• Tests added and passed if fixing a bug or adding a new feature
• All code checks passed.
• Added type annotations to new arguments/methods/functions.
• Added an entry in the latest doc/source/whatsnew/vX.X.X.rst file if fixing a bug or adding a new feature.

Added fix in pandas/core/generic.py by adding the lines below to the take() method within core/generic.py, which is called in the getitem method in core/frame.py in order to the columns as objects.

        if axis == 1 and indices.ndim == 1 and is_range_indexer(indices, len(self.columns)):
            # check if index is of type period, sets to object for slicing correct columns
            if isinstance(self.index, DatetimeIndex) or isinstance(self.index, PeriodIndex): 
                return self.copy(deep=False).astype('object')
            return self.copy(deep=False)

The method was not properly returning the right columns if the datatype was a DatetimeIndex or PeriodIndex. Added tests in pandas/tests/series/indexing/test_getitem.py to reflect these changes.