Geodesic
The Abel-type polynomial identities
The electronic journal of combinatorics, Tome 17 (2010)

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The Abel identity is $(x+y)^{n}=\sum\limits_{i=0}^{n}{n\choose i}x (x-iz)^{i-1}(y+iz)^{n-i}$, where $x,y$ and $z$ are real numbers. In this paper we deduce several polynomials expansions, referred to as Abel-type identities, by using Foata's method, and also show some of their applications.
DOI : 10.37236/282
Classification : 05C30, 05C05 
Fengying Huang; Bolian Liu. The Abel-type polynomial identities. The electronic journal of combinatorics, Tome 17 (2010). doi: 10.37236/282
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     author = {Fengying Huang and Bolian Liu},
     title = {The {Abel-type} polynomial identities},
     journal = {The electronic journal of combinatorics},
     year = {2010},
     volume = {17},
     doi = {10.37236/282},
     zbl = {1215.05086},
     url = {http://geodesic.mathdoc.fr/articles/10.37236/282/}
}
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