Automatic asymptotics for coefficients of smooth, bivariate rational functions

zbMath1292.05037arXiv1108.1209MaRDI QIDQ5494771

Timothy Devries, Joris van der Hoeven, Robin Pemantle

Publication date: 30 July 2014

Full work available at URL: https://arxiv.org/abs/1108.1209

zbMATH Keywords

Cauchy integralMorse theorygenerating functionrational functionFourier-Laplace integral

Mathematics Subject Classification ID

Asymptotic enumeration (05A16) Invariants of analytic local rings (32S10)

Related Items (3)

Asymptotics of multivariate sequences. IV: Generating functions with poles on a hyperplane arrangement ⋮ Effective coefficient asymptotics of multivariate rational functions via semi-numerical algorithms for polynomial systems ⋮ Stationary points at infinity for analytic combinatorics

Uses Software

• Mathemagix

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