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A multivariate Lagrange inversion formula for asymptotic calculations
The electronic journal of combinatorics, Tome 5 (1998)
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The determinant that is present in traditional formulations of multivariate Lagrange inversion causes difficulties when one attempts to obtain asymptotic information. We obtain an alternate formulation as a sum of terms, thereby avoiding this difficulty.
DOI : 10.37236/1371
Classification : 05A15, 05C05, 40E99
Mots-clés : multivariate Lagrange inversion, asymptotic calculations, formal power series, coefficient 
@article{10_37236_1371,
     author = {Edward A. Bender and L. Bruce Richmond},
     title = {A multivariate {Lagrange} inversion formula for asymptotic calculations},
     journal = {The electronic journal of combinatorics},
     year = {1998},
     volume = {5},
     doi = {10.37236/1371},
     zbl = {0901.05005},
     url = {http://geodesic.mathdoc.fr/articles/10.37236/1371/}
}
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%A Edward A. Bender
%A L. Bruce Richmond
%T A multivariate Lagrange inversion formula for asymptotic calculations
%J The electronic journal of combinatorics
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Edward A. Bender; L. Bruce Richmond. A multivariate Lagrange inversion formula for asymptotic calculations. The electronic journal of combinatorics, Tome 5 (1998). doi: 10.37236/1371

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