Laguerre Polynomials, Weighted Derangements, and Positivity | Zendy

Dominique Foata | Zendy; Doron Zeilberger | Zendy

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Laguerre Polynomials, Weighted Derangements, and Positivity

Author(s) -

Dominique Foata,

Doron Zeilberger

Publication year - 1988

Publication title -

siam journal on discrete mathematics

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.843

H-Index - 66

eISSN - 1095-7146

pISSN - 0895-4801

DOI - 10.1137/0401043

Subject(s) - laguerre polynomials , mathematics , linearization , classical orthogonal polynomials , combinatorics , discrete orthogonal polynomials , wilson polynomials , hahn polynomials , derangement , discrete mathematics , orthogonal polynomials , alpha (finance) , pure mathematics , gegenbauer polynomials , statistics , nonlinear system , construct validity , physics , quantum mechanics , psychometrics

A calculation of the linearization coefficients of the (generalized) Laguerre polynomials $L_n^{( \alpha )} ( x )$ is proposed by means of analytic and combinatorial methods. This paper extends to the case of an arbitrary $\alpha $ a combinatoric and analytic result due to Askey, Ismail, and Koornwinder and Even and Gillis.

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