Geodesic
Bell polynomials and nonlinear inverse relations
The electronic journal of combinatorics, Tome 28 (2021) no. 4
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By means of the Lagrange expansion formula, we establish a general pair of nonlinear inverse series relations, which are expressed via partial Bell polynomials with the connection coefficients involve an arbitrary formal power series. As applications, two examples are presented with one of them recovering the difficult theorems discovered recently by Birmajer, Gil and Weiner (2012 and 2019).
DOI : 10.37236/10390
Classification : 05A15, 05A19, 11B73
Mots-clés : Lagrange expansion formula, partial Bell polynomials 
@article{10_37236_10390,
     author = {Wenchang Chu},
     title = {Bell polynomials and nonlinear inverse relations},
     journal = {The electronic journal of combinatorics},
     year = {2021},
     volume = {28},
     number = {4},
     doi = {10.37236/10390},
     zbl = {1478.05009},
     url = {http://geodesic.mathdoc.fr/articles/10.37236/10390/}
}
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%J The electronic journal of combinatorics
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Wenchang Chu. Bell polynomials and nonlinear inverse relations. The electronic journal of combinatorics, Tome 28 (2021) no. 4. doi: 10.37236/10390

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