Geodesic
A note on the generating function for the Stirling numbers of the first kind
Journal of integer sequences, Tome 18 (2015) no. 3.

Voir la notice de l'article provenant de la source Electronic Library of Mathematics

Summary: In this short note, we present a simple constructive proof for the generating function for the unsigned Stirling numbers of the first kind using the equidistribution of pilots and cycles of permutations.
Classification : 05A05
Keywords: permutation, pilot, Stirling number of the first kind 
@article{JIS_2015__18_3_a3,
     author = {Chen, Ricky X.F.},
     title = {A note on the generating function for the {Stirling} numbers of the first kind},
     journal = {Journal of integer sequences},
     publisher = {mathdoc},
     volume = {18},
     number = {3},
     year = {2015},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/JIS_2015__18_3_a3/}
}
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Chen, Ricky X.F. A note on the generating function for the Stirling numbers of the first kind. Journal of integer sequences, Tome 18 (2015) no. 3. http://geodesic.mathdoc.fr/item/JIS_2015__18_3_a3/