Geodesic
Generating functions for sequences of disordered covers numbers
Prikladnaâ diskretnaâ matematika, no. 1 (2011), pp. 5-13

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This article considers generating functions for sequences of combinatorial numbers, which are the amounts of covers of a finite set by subsets of fixed cardinalities. The analysis of the generating functions is performed. Special cases of them are shown. The series of recurrence relations are obtained.
Keywords: cover, finite set, combinatoric numbers, generating functions. 
@article{PDM_2011_1_a0,
     author = {R. M. Ganopolsky},
     title = {Generating functions for sequences of disordered covers numbers},
     journal = {Prikladna\^a diskretna\^a matematika},
     pages = {5--13},
     publisher = {mathdoc},
     number = {1},
     year = {2011},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/PDM_2011_1_a0/}
}
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R. M. Ganopolsky. Generating functions for sequences of disordered covers numbers. Prikladnaâ diskretnaâ matematika, no. 1 (2011), pp. 5-13. http://geodesic.mathdoc.fr/item/PDM_2011_1_a0/