Mod-\( \phi\) convergence of Stirling distributions and limit theorems for zeros of their generating functions
DOI10.1016/j.jmaa.2023.127571zbMath1527.60022arXiv2209.06808WikidataQ123118108 ScholiaQ123118108MaRDI QIDQ6074494
Helmut Pitters, Alexander Marynych, Zakhar Kabluchko
Publication date: 19 September 2023
Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2209.06808
Stirling numbersTouchard polynomialsPoisson distributionsaddle point methodgeneralized Laguerre polynomialsLambert \(W\)-functionrandom allocationsMarchenko-Pastur distributionmod-\(\phi\) convergenceLandau symbolGibbs random partitionGoncharov's CLTStirling-Karamata distributionStirling-Sibuya distribution
Central limit and other weak theorems (60F05) Exact enumeration problems, generating functions (05A15) Bell and Stirling numbers (11B73) Combinatorial probability (60C05)
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