>>> print( os.path.splitext.__doc__ )
Split the extension from a pathname.

    Extension is everything from the last dot to the end, ignoring
    leading dots.  Returns "(root, ext)"; ext may be empty.
>>> os.path.splitext('.txt')
('.txt', '')

#### 
I think, in windows it should be ('','.txt'), because the first dot doesnot mean hiding. Actually, in windows file explorer , it will show a empty file name and hide the extension if the extension has been related a program except shell32.dll，just like the attachment show. So, in windows, the last dot , even it's the first character of the file name, it still means the start of the file extension name.

In this case, windows doesnot like linux, we donot have to make them same. 

If you agree, then
why we can talk ignoring leading dots or not ......
i mean
os.path.splitext('...ext')

Anyway, thank you , for your work, even you donot think so

This was implemented after discussion in issue1115886:

  http://bugs.python.org/issue1115886

and python-dev:

  https://mail.python.org/pipermail/python-dev/2007-March/071557.html

In short, it could have gone either way and it went this way.