Hsien-Kuei Hwang. Asymptotic expansions for the Stirling numbers of the first kind. Journal of Combinatorial Theory, Series A, 71:2 (1995), 343-351. MathReview: 96k:11019
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Hsien-Kuei Hwang. Théorèmes limites pour les structures combinatories et les fonctions arithmétiques. Ph.D.Thesis, École Polytechnique (1994) (Errata: For the proofs of Theorem 1 and Theorem 6 on Page 52 and Page 83, the application of the Berry-Esseen smoothing inequality requires some continuity modifications; see the proof of Lemma 2 on Page 68 or my papers On convergence rates in the central limit theorems for combinatorial structures and Large deviations of combinatorial distributions, I. Central limit theorems.)
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