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O. V. Kuzmin, O. V. Leonova

Touchard C-polynomials and quasi-orthogonal to them polynomials

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.

Discrete Mathematics and Applications, Walter de Gruyter

Print ISSN: 0924-9266
Volume: 15, 05/2005
Pages: 319 - 326

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