What are the prerequisites for reading Generatingfunctionology?

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Which specific topics (e.g. calc 1, calc 2, linear algebra, etc.) do I need to study in order to be able to read and understand Wilf's Generatingfunctionology?

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Chapter 5: Analytic and Asymptotic Methods
this will require complex analysis

Of course you can omit that chapter. But in the Preface we find:

To omit those parts of the subject, however, is like listening to a stereo recording of, say, Beethoven's Ninth Symphony, using only the left audio channel.

Amazon will show you a sample of the book, including the Preface. Why not read that to see whether to study the book.