何时使用::以及何时在文档中使用#

I've seen both used in documentation of a PHP library (seemingly interchangeably) and was wondering if there's a method to the madness and a time when each should be used? (Or if they mean something different, a nuance which I've therefore missed in the documentation)

Examples:

ClassName#foo()  // a method
ClassName::bar() // a method
ClassName::baz   // a property

I've not (yet) seen anybody try to use ClassName#qux for a property but perhaps that's possible too!

Hopefully this thread will help to set people on the straight and narrow!

Thanks in advance

P.S. it's hard searching Google for this. "#" = "hash" = "pound" and "::" = "double colon" = "T_PAAMAYIM_NEKUDOTAYIM"... and "hash" means something all of its own too, of course.

Edit: A further question is whether it is normal/correct to document properties and variables as ClassName::foo or ClassName::$foo (i.e. with or without a leading $)

Even for PHP, it's perverse, which is saying a lot. Don't ever do it in any context.

It is probably to disambiguate between actual static methods which can literally be called with Foo::bar(), and instance methods which require an object instance, like $foo->bar(). That's the only sensible explanation I can think of, and it's not an official standard in any context that I'm aware of.