multivariate asymptotic analysis of set partitions: focus on blocks of fixed size
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ID: 210114
2017
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Abstract
Using the Saddle point method and multiseries expansions, we obtain from the exponential formula and Cauchy's integral formula, asymptotic results for the number $T(n,m,k)$ of partitions of $n$ labeled objects with $m$ blocks of fixed size $k$. We analyze the central and non-central region. In the region $m=n/k-n^\al,\quad 1>\al>1/2$, we analyze the dependence of $T(n,m,k)$ on $\al$. This paper fits within the framework of Analytic Combinatorics.
| Reference Key |
louchard2017journalmultivariate
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|---|---|
| Authors | ;Guy Louchard |
| Journal | Plant disease |
| Year | 2017 |
| DOI |
10.13069/jacodesmath.37019
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| URL | |
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