my_function.__name__
Using __name__ is the preferred method as it applies uniformly. Unlike func_name, it works on built-in functions as well:
>>> import time >>> time.time.func_name Traceback (most recent call last): File "<stdin>", line 1, in ? AttributeError: 'builtin_function_or_method' object has no attribute 'func_name' >>> time.time.__name__ 'time'
Also the double underscores indicate to the reader this is a special attribute. As a bonus, classes and modules have a __name__ attribute too, so you only have remember one special name.
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