Separation of variables and combinatorics of linearization coefficients of orthogonal polynomials
نویسندگان
چکیده
منابع مشابه
Weighted Derangements and the Linearization Coefficients of Orthogonal Sheffer Polynomials
The present paper is devoted to a systematic study of the combinatorial interpretations of the moments and the linearization coefficients of the orthogonal Sheffer polynomials, i.e., Hermite, Charlier, Laguerre, Meixner and Meixner-Pollaczek polynomials. In particular, we show that Viennot's combinatorial interpretations of the moments can be derived directly from their classical analytical exp...
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ژورنال
عنوان ژورنال: Journal of Combinatorial Theory, Series A
سال: 2013
ISSN: 0097-3165
DOI: 10.1016/j.jcta.2012.10.007