Geodesic
On partition polynomials
Diskretnaya Matematika, Tome 13 (2001) no. 2, pp. 144-158

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We consider some partition polynomials such that partial Bell and Platonov polynomials, generalised $A$- and $B$-polynomials, Touchard $T$- and $C$-polynomials, and $P$-polynomials which compose a quasi-orthogonal system with $T$-polynomials. We investigate the properties of the coefficients of these polynomials, present recurrence relations and combinatorial interpretations. For $C$-polynomials, we give recurrence relations, generating functions, and explicit expressions. 
@article{DM_2001_13_2_a7,
     author = {O. V. Kuz'min and O. V. Leonova},
     title = {On partition polynomials},
     journal = {Diskretnaya Matematika},
     pages = {144--158},
     publisher = {mathdoc},
     volume = {13},
     number = {2},
     year = {2001},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/DM_2001_13_2_a7/}
}
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O. V. Kuz'min; O. V. Leonova. On partition polynomials. Diskretnaya Matematika, Tome 13 (2001) no. 2, pp. 144-158. http://geodesic.mathdoc.fr/item/DM_2001_13_2_a7/