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Diskretnaya Matematika, 2005, Volume 17, Issue 2, Pages 153–159
DOI: https://doi.org/10.4213/dm109 (Mi dm109) 		 
Touchard $C$-polynomials and polynomials quasi-orthogonal to them

O. V. Kuz'min, O. V. Leonova
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DOI: https://doi.org/10.4213/dm109
Abstract: 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.
Received: 23.02.2005
English version:
Discrete Mathematics and Applications, 2005, Volume 15, Issue 3, Pages 319–326
DOI: https://doi.org/10.1515/156939205774464468
Bibliographic databases:
UDC: 519.1
Language: Russian
Citation: O. V. Kuz'min, O. V. Leonova, “Touchard $C$-polynomials and polynomials quasi-orthogonal to them”, Diskr. Mat., 17:2 (2005), 153–159; Discrete Math. Appl., 15:3 (2005), 319–326
Citation in format AMSBIB
\Bibitem{KuzLeo05}
\by O.~V.~Kuz'min, O.~V.~Leonova
\paper Touchard $C$-polynomials and polynomials quasi-orthogonal to them
\jour Diskr. Mat.
\yr 2005
\vol 17
\issue 2
\pages 153--159
\mathnet{http://mi.mathnet.ru/dm109}
\crossref{https://doi.org/10.4213/dm109}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2167810}
\zmath{https://zbmath.org/?q=an:1102.05064}
\elib{https://elibrary.ru/item.asp?id=9135433}
\transl
\jour Discrete Math. Appl.
\yr 2005
\vol 15
\issue 3
\pages 319--326
\crossref{https://doi.org/10.1515/156939205774464468}
\elib{https://elibrary.ru/item.asp?id=21601932}
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    		Дискретная математика
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