Laguerre Polynomials, Weighted Derangements, and Positivity
Authors:
- Dominique FoataDFDominique Foata
- Doron ZeilbergerDZDoron Zeilberger
- 1 November 1988
- journal article
- Published by Society for Industrial & Applied Mathematics (SIAM) in SIAM Journal on Discrete Mathematics
- Vol. 1 (4) , 425-433
Abstract
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.
Keywords
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