منابع مشابه
Asymptotics of Multivariate Sequences
Let F (z) = ∑ r arz r be a multivariate generating function which is meromorphic in some neighborhood of the origin of C, and let V be its set of singularities. Effective asymptotic expansions for the coefficients can be obtained by complex contour integration near points of V. In the first article in this series, we treated the case of smooth points of V. In this article we deal with multiple ...
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We consider a number of combinatorial problems in which rational generating functions may be obtained, whose denominators have factors with certain singularities. Specifically, there exist points near which one of the factors is asymptotic to a nondegenerate quadratic. We compute the asymptotics of the coefficients of such a generating function. The computation requires some topological deforma...
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ژورنال
عنوان ژورنال: Stochastic Processes and their Applications
سال: 1992
ISSN: 0304-4149
DOI: 10.1016/0304-4149(92)90032-l