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At a lower level than Flajolet and Sedgewick, Chapter 5 of Generatingfunctionologygeneratingfunctionology by Wilf is a good introduction to complex analytic methods. (Yes, my two answers look very similar. As usual in a big list question, I am posting separate answers so people can vote on them separately.)

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At a lower level than Flajolet and Sedgewick, Chapter 5 of Generatingfunctionology by Wilf is a good introduction to complex analytic methods. (Yes, my two answers look very similar. As usual in a big list question, I am posting separate answers so people can vote on them separately.)