The Living Thing / Notebooks :

Generating functions

['fancy counting.', 'A sweet hack for counting things; especially, but not only, probabilistic things.']

I don't have much to say here apart from a couple of links and references I need from time to time.

But nor should I; simply download Herbert Wilf's free and pellucid textbook for all the possible introduction you could need.

Some Rolf Bardeli walks through some beautiful generating function application.

Later I would like to include notes on graph theory and neat count RV based on generating functions. You an rapidly get into weird complex analysis when you consider asymptotics of these guys and get to finally find out why Cauchy's integral formula and Lagrange's Inversion Theorem were in your textbook.

Refs