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Multivariate asymptotics for products of large powers with applications to Lagrange inversion
The electronic journal of combinatorics, Tome 6 (1999)
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An asymptotic estimate is given for the coefficients of products of large powers of generating functions. This theorem and another local limit theorem which is useful for conditioning are applied to various combinatorial enumeration problems that involve multivariate Lagrange inversion.
DOI : 10.37236/1440
Classification : 41A60, 05A16, 41A63, 05C05
Mots-clés : asymptotic enumeration, trees, maps, noncrossing partitions, local limit theorem, Lagrange inversion 
@article{10_37236_1440,
     author = {Edward A. Bender and L. Bruce Richmond},
     title = {Multivariate asymptotics for products of large powers with applications to {Lagrange} inversion},
     journal = {The electronic journal of combinatorics},
     year = {1999},
     volume = {6},
     doi = {10.37236/1440},
     zbl = {0927.41017},
     url = {http://geodesic.mathdoc.fr/articles/10.37236/1440/}
}
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%A L. Bruce Richmond
%T Multivariate asymptotics for products of large powers with applications to Lagrange inversion
%J The electronic journal of combinatorics
%D 1999
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%R 10.37236/1440
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Edward A. Bender; L. Bruce Richmond. Multivariate asymptotics for products of large powers with applications to Lagrange inversion. The electronic journal of combinatorics, Tome 6 (1999). doi: 10.37236/1440

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