Looking for internet famous math prob on dist law.

[micromass]

OK this I can do, expansion of W

This maybe

Yes, in the same way that the sin and the logarithm have such expansions! You see, there is little difference between the W and the logarithm. The only difference is that you've learned the log at a young age and thus are more "used" to it.

 

[houlahound]

But this discussion started that W can not be expressed by more elementary functions when from above clearly it can.

I have really enjoyed and value this discussion cos I got some new math. Appreciate you sticking with.

 

[micromass]

But this discussion started that W can not be expressed by more elementary functions when from above clearly it can.

The term elementary function is a technical term with a very specific meaning. You shouldn't put too much importance at these terms. A function being not-elementary doesn't mean it's hard to compute or anything.