Analytic Combinatorics – A Worked Example

There's an interesting extension to Analytic Combinatorics by Flajolet/Sedgewick called "Analytic Combinatorics in Several Variables" by Pemantle and Wilson: https://www2.math.upenn.edu/~pemantle/papers/ACSV.pdf and https://acsvproject.com/

It extends the original framework with a lot of useful new primitives, like Hadamard products. Super useful!