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I'd say this is a critical documentation bug that leads to head bang when you try to figure out what does '*' in code means.
This bug is two fold:
1. Define a dedicated place in documentation for '*' operator with examples. I propose http://docs.python.org/3/library/stdtypes.html chapter with a name like "Special Operations" or "Function Argument Operations" or "Function Argument Operators"
 
2. Make '*', 'asterisk', 'splat', 'star' operator searchable
http://docs.python.org/3/search.html?q=*
http://docs.python.org/3/search.html?q=asterisk
http://docs.python.org/3/search.html?q=splat
http://docs.python.org/3/search.html?q=star+operator
Good?
References:
http://stackoverflow.com/questions/2322355/proper-name-for-python-operator
http://stackoverflow.com/questions/5239856/foggy-on-asterisk-in-python
http://stackoverflow.com/questions/2921847/python-once-and-for-all-what-does-the-star-operator-mean-in-python
http://stackoverflow.com/questions/287085/what-do-args-and-kwargs-mean
http://stackoverflow.com/search?q=[python]+%2Bkwargs+is%3Aquestion

http://docs.python.org/3/tutorial/controlflow.html#arbitrary-argument-lists
http://docs.python.org/3/tutorial/controlflow.html#unpacking-argument-lists 
The above links do a so-so of explaining the splat operator, although I agree that the docs for '*' could be improved.

Index entries for * and ** were added in #12531 so that both are indexed as operators, in function definitions, in function calls, and in the tutorial. If any of these places need improvement, there should be specific suggestions.
I do not think there should be separate documentation for the * symbol. It would only duplicate what is already present. There are many symbols with multiple uses.
Changing html search search for symbols, if possible, would be a different issue. But returning every use of '*' in the docs would not seem too useful. For anything in the index, the index in more useful.

I concur with Terry.

223 people + me out of 1422 disagree with you both.
http://stackoverflow.com/questions/101268/hidden-features-of-python 

To narrow the point of conflict, I say that argument unpacking *operators*
should have a prominent place in Python documentation that people can link
to. Current page
http://docs.python.org/3/tutorial/controlflow.html#unpacking-argument-lists is
about functionality, not about operators, and therefore usage of these
while studying Python code can not be tracked back to documentation. Which
is why it is hidden.

Unfortunately, there's currently no good place for this kind of detailed syntax reference documentation to go. The library reference doesn't cover syntax, the tutorial doesn't go into detailed semantics, and the language reference is written more for language implementors than it is for users.
My Python User's Reference project (http://svn.python.org/view/sandbox/trunk/userref/README.txt?view=markup) was designed to fill that gap, but I never found the time to do the ReST conversion myself, and nobody ever expressed interest in helping out with it, so it's now five years out of date.
Creating a cut down version of that as the "Python Syntax Reference" might be a reasonable approach. However, it's a project that could easily start life outside the core CPython repository.

The StackOverflow question and answer about function calls is 5 years old and therefore out of date with respect to #12531, which specifically added index entries for function calls.
Perhaps my Python 3 symbol glossary "Python3 Syntax Symbol Uses"
https://code.google.com/p/xploro/downloads/detail?name=PySymbols.html&can=1&q=
could be expanded a bit or combined with other text, as well as being a basis for adding index entries.

> 223 people + me out of 1422 disagree with you both.
Note that those votes doesn't necessarily mean "I didn't know about the feature" -- they might mean "I find this feature useful/I like this feature". Features like decorators have even more votes and I don't think they are "hidden" features.
> Current page
 http://docs.python.org/3/tutorial/controlflow.html#unpacking-argument-lists is
> about functionality, not about operators
These operators are documented here:
http://docs.python.org/3/reference/expressions.html#index-36
http://docs.python.org/3/reference/expressions.html#index-37
This can be found from the doc index (which admittedly is not the most obvious place where to look):
http://docs.python.org/3/genindex-Symbols.html
If the problem is the content of the docs, you can suggest what exactly should be improved (and how). If the problem is the discoverability, you should open a separate issue on the Sphinx bug tracker about allowing the search of operators.

I have started indexing symbol uses on other issue and will continue after GSOC. I am closing this as there is nothing specific to do.