Analytic combinatorics in d variables: An overview
نویسندگان
چکیده
Let F (Z) = P r arZ r be a rational generating function in the d variables Z1, . . . , Zd. Asymptotic formulae for the coefficients ar may be obtained via Cauchy’s integral formula in Cd. Evaluation of this integral is not as straightforward as it is in the univariate case. This paper discusses geometric techniques that are needed for evaluation of these integrals and surveys classes of functions for which these techniques lead to explicit and effectively computable asymptotic formulae.
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