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  Asymptotics of multivariate sequences, part I: smooth points of the singular variety (1999) [5 citations — 3 self]

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by Robin Pemantle, Mark, C. Wilson
J. Comb. Theory, Series A
http://www.math.ohio-state.edu/~pemantle/papers/../p1/Revision/p1.ps
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Abstract:

r 1 1 z r d d, we determine asymptotics for the coecients. Our approach is to use Cauchy's integral formula near singular points of F, resulting in a tractable oscillating integral. This paper treats the case where the singular point of F is a smooth point of a surface of poles. Companion papers G treat singular points of F where the local

Citations

302 Enumerative Combinatorics – Stanley - 1997
223 Singularity analysis of generating functions – Flajolet, Odlyzko - 1990
122 Applied and Computational Complex Analysis – Henrici - 1974
108 Central and local limit theorems applied to asymptotic enumeration II: Multivariate generating functions – Bender, Richmond - 1983
105 Advanced Combinatorics – Comtet - 1974
104 Harmonic analysis: real-variable methods, orthogonality, and oscillatory integrals – Stein - 1993
74 Asymptotic methods in enumeration – Bender - 1974
56 Non-commutative elimination in Ore algebras proves multivariate identities – Chyzak, Salvy - 1998
51 An introduction to complex analysis in several variables – Hörmander - 1966
44 Local statistics for random domino tilings of the Aztec diamond – Cohn, Elkies, et al. - 1996
43 On convergence rates in the central limit theorems for combinatorial structures – Hwang - 1998
36 Large deviations for combinatorial distributions: I. Central limit theorems, The Annals of Applied Probability 6 – Hwang - 1996
36 D–Finite Power Series – Lipshitz - 1989
32 Plane algebraic curves – Brieskorn, Knorrer - 1986
26 A.,: Singularities of differentiable mappings – Arnold, Varchenko - 1988
20 General combinatorial schemas: Gaussian limit distributions and exponential tails – Flajolet, Soria - 1993
20 Asymptotic Enumeration Methods, in “Handbook of Combinatorics”, Vol – Odlyzko - 1995
15 Algebraic functions over finite fields – Furstenberg - 1967
13 The average case analysis of algorithms: Multivariate asymptotics and limit distributions. Research Report 3162, Institut National de Recherche en Informatique et en Automatique – Flajolet, Sedgewick - 1997
13 2nd Edition – Wilf, Generatingfunctionology - 1994
12 Asymptotic expansions for the Stirling numbers of the first kind – Hwang - 1995
11 Multidimensional residues, generating functions, and their application to queueing networks – Bertozzi, McKenna - 1993
11 Planar maps and Airy phenomena – Banderier, Schaeffer, et al. - 2000
11 Linear recurrences with constant coecients: the multivariate case – Bousquet-Melou, Petkovsek - 2000
9 The diagonal of a double power series – Hautus, Klarner - 1971
7 Ornstein-Zernike behavior for self-avoiding walks at all noncritical temperatures – Chayes - 1986
5 Admissible functions and asymptotics for labelled structures by number of components – Bender, Richmond - 1996
5 Statistical mechanics of dimers on a plane lattice, Phys. Rev – Fisher - 1961
4 Multivariate asymptotics for products of large powers with applications to Lagrange inversion – Bender, Richmond - 1999
3 Singularities of dierentiable maps – Arnold, Gusein-Zade, et al. - 1985
3 Algebraic functions over – Furstenberg - 1967
2 Gaussian fluctuations in the subcritical regime of percolation, Prob.Th – Casnpanino, Chayes, et al. - 1991
2 Counting constrained domino tilings of Aztec diamonds – Gessel, Ionescu, et al. - 1995
2 Gaussian in the subcritical regime of percolation, Prob.Th.Rel.Fields – Campanino, Chayes, et al. - 1991
2 Asymptotic expansions for the Stirling numbers of the kind – Hwang - 1995
1 Asymptotic expansions of integrals, second edn – unknown authors - 1986
1 Universality of decay of correlations in random tilings', in preparation – Kenyon - 1999