Geodesic
Touchard $C$-polynomials and polynomials quasi-orthogonal to them
Diskretnaya Matematika, Tome 17 (2005) no. 2, pp. 153-159

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We consider the Touchard $C$-polynomials closely related to the cycle indices of symmetric groups and introduce the so-called $M$-polynomials. We demonstrate that the $C$- and $M$-polynomials constitute a quasi-orthogonal system. For the partition polynomials under consideration, we give a series of recurrence relations. 
@article{DM_2005_17_2_a13,
     author = {O. V. Kuz'min and O. V. Leonova},
     title = {Touchard $C$-polynomials and polynomials quasi-orthogonal to them},
     journal = {Diskretnaya Matematika},
     pages = {153--159},
     publisher = {mathdoc},
     volume = {17},
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     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/DM_2005_17_2_a13/}
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O. V. Kuz'min; O. V. Leonova. Touchard $C$-polynomials and polynomials quasi-orthogonal to them. Diskretnaya Matematika, Tome 17 (2005) no. 2, pp. 153-159. http://geodesic.mathdoc.fr/item/DM_2005_17_2_a13/