Geodesic
Some convolution identities and an inverse relation involving partial Bell polynomials
Daniel Birmajer1 ; Juan B. Gil2 ; Michael D. Weiner2
1Nazareth College
2Penn State Altoona
The electronic journal of combinatorics, Tome 19 (2012) no. 4

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Zbl arXiv
We prove an inverse relation and a family of convolution formulas involving partial Bell polynomials. Known and some presumably new combinatorial identities of convolution type are discussed. Our approach relies on an interesting multinomial formula for the binomial coefficients. The inverse relation is deduced from a parametrization of suitable identities that facilitate dealing with nested compositions of partial Bell polynomials.
DOI : 10.37236/2476
Classification : 05A19, 05A10, 11B73
Mots-clés : inverse relations, convolution identities, partial Bell polynomials

Daniel Birmajer  1   ; Juan B. Gil  2   ; Michael D. Weiner  2

1 Nazareth College
2 Penn State Altoona 
Daniel Birmajer; Juan B. Gil; Michael D. Weiner. Some convolution identities and an inverse relation involving partial Bell polynomials. The electronic journal of combinatorics, Tome 19 (2012) no. 4. doi: 10.37236/2476
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     title = {Some convolution identities and an inverse relation involving partial {Bell} polynomials},
     journal = {The electronic journal of combinatorics},
     year = {2012},
     volume = {19},
     number = {4},
     doi = {10.37236/2476},
     zbl = {1267.05038},
     url = {http://geodesic.mathdoc.fr/articles/10.37236/2476/}
}
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