Multivariate asymptotics for products of large powers with applications to Lagrange inversion (Q1277145)
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scientific article; zbMATH DE number 1247862
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Multivariate asymptotics for products of large powers with applications to Lagrange inversion |
scientific article; zbMATH DE number 1247862 |
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Multivariate asymptotics for products of large powers with applications to Lagrange inversion (English)
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2 February 1999
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The paper studies the asymptotic for the coefficients of products of large powers of generating functions. This asymptotic combined with a local limit theorem is applied to a number of combinatorial enumeration problems that involve multivariate Lagrange inversion. The combinatorial enumeration problems include noncrossing partitions, plane trees by vertex degree, 3-connected rooted maps, plane rooted colored trees.
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asymptotic enumeration
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trees
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maps
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noncrossing partitions
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local limit theorem
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Lagrange inversion
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0.8740194
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0.8648964
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0.8594192
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0.8585079
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0.8551436
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0.85444885
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0.8504193
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