Geodesic
On a generalized recurrence for Bell numbers
Journal of integer sequences, Tome 11 (2008) no. 3
A novel recurrence relation for the Bell numbers was recently derived by Spivey, using a beautiful combinatorial argument. An algebraic derivation is proposed that allows straightforward $q$-deformation.
Classification : 11B73, 05A19, 05A30, 05A40
Keywords: q-Bell numbers, q-Stirling numbers, umbral calculus 
@article{JIS_2008__11_3_a5,
     author = {Katriel,  Jacob},
     title = {On a generalized recurrence for {Bell} numbers},
     journal = {Journal of integer sequences},
     year = {2008},
     volume = {11},
     number = {3},
     zbl = {1204.11055},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/JIS_2008__11_3_a5/}
}
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Katriel,  Jacob. On a generalized recurrence for Bell numbers. Journal of integer sequences, Tome 11 (2008) no. 3. http://geodesic.mathdoc.fr/item/JIS_2008__11_3_a5/