Basically, there isn't one. The $(...) format is a shortcut. See the API docs for jQuery() for details.
I like to use it like this:
jQuery(function($) {
// ...all of my jQuery-specific code here...
});
...because then if I need to, I can use noConflict if I end up having to mix something into the page that also wants the $ symbol, but I can still use $ in my code (because jQuery passes itself into the callback as the first argument, and as you can see I'm accepting that argument as $ in my callback function — and so that shadows any global $ symbol that another library might be using). The above also has the advantage that I can have symbols global to my code (vars within the anonymous function) that are not actually globals.