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Lecture Analytic combinatorics (Part 2) - Chapter 7: Applications of singularity analysis

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Lecture Analytic combinatorics (Part 2) - Chapter 7: Applications of singularity analysis

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Singularity analysis paves the way to the analysis of a large quantity of generating functions, as provided by the symbolic method expounded in Chapters I–III. In this chapter we illustrate this situation with numerous examples related to languages, permutations, trees, and graphs of various sorts. As in chapter 5, most analyses are organized into broad classes called schemas.

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