Extended admissible functions and Gaussian limiting distributions

DOI10.1090/S0025-5718-05-01744-8zbMath1078.41025MaRDI QIDQ5315427

Michael Drmota, Thomas Klausner, Bernhard Gittenberger

Publication date: 8 September 2005

Published in: Mathematics of Computation (Search for Journal in Brave)

zbMATH Keywords

asymptotic normalitysaddle-point methodadmissiblke function

Mathematics Subject Classification ID

Asymptotic approximations, asymptotic expansions (steepest descent, etc.) (41A60) Combinatorial probability (60C05) Asymptotic enumeration (05A16) Power series, series of functions of several complex variables (32A05)

Related Items (2)

Asymptotic Properties of Some Minor-Closed Classes of Graphs ⋮ On colored set partitions of type \(B_n\)

Uses Software

• Maple

Cites Work

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• Gaussian limiting distributions for the number of components in combinatorial structures
• General combinatorial schemas: Gaussian limit distributions and exponential tails
• A generalization of Canfield's formula
• Central and local limit theorems applied to asymptotic enumeration. IV: Multivariate generating functions
• On convergence rates in the central limit theorems for combinatorial structures
• Symbolic asymptotics: Multiseries of inverse functions
• A bivariate asymptotic expansion of coefficients of powers of generating functions
• Admissible functions and asymptotics for labelled structures by number of components
• Central and local limit theorems applied to asymptotic enumeration. II: Multivariate generating functions
• Some results on the asymptotic behaviour of coefficients of large powers of functions
• Large deviations for combinatorial distributions. I: Central limit theorems
• Asymptotic expansions for the coefficients of analytic functions
• A Generalisation of Stirling's Formula.
• Inverses of Hardy L-Functions
• Stirling Behavior is Asymptotically Normal

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