Some results on the asymptotic behaviour of coefficients of large powers of functions

DOI10.1016/0012-365X(94)00133-4zbMath0827.41023MaRDI QIDQ1893987

Daniéle Gardy

Publication date: 26 November 1995

Published in: Discrete Mathematics (Search for Journal in Brave)

Mathematics Subject Classification ID

Exact enumeration problems, generating functions (05A15) Asymptotic approximations, asymptotic expansions (steepest descent, etc.) (41A60) Asymptotic representations in the complex plane (30E15)

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Cites Work

• On the performance evaluation of extendible hashing and trie searching
• Explicit Tauberian estimates for functions with positive coefficients
• Join sizes, urn models and normal limiting distributions
• The asymptotic behaviour of coefficients of powers of certain generating functions
• On the unimodality of high convolutions of discrete distributions
• Laplace's method for two parameters
• Lattice points in high-dimensional spheres
• Asymptotic analysis of a random walk on a hypercube with many dimensions
• A Generalisation of Stirling's Formula.
• Saddle-point Methods for the Multinomial Distribution
• Patterns and pattern-matching in trees: An analysis
• An improvement to the Minkowski‐Hiawka bound for packing superballs
• Normal Limiting Distributions for Projection and Semijoin Sizes
• On some generalized farlie-gumbel-morgenstern distributions-II regression, correlation and further generalizations
• The Asymptotic Behaviour of the Laurent Coefficients
• A Generalization of Laplace's Method
• Saddlepoint Approximations in Statistics
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