Classical Orthogonal Polynomials as Moments
نویسندگان
چکیده
We show that the Meixner, Pollaczek, Meixner-Pollaczek and Al-Salam-Chihara polynomials, in certain normalization, are moments of probability measures. We use this fact to derive bilinear and multilinear generating functions for some of these polynomials. We also comment on the corresponding formulas for the Charlier, Hermite and Laguerre polynomials. Running Title: Generating Functions
منابع مشابه
More Orthogonal Polynomials as Moments
An overview is given for classical orthogonal polynomials as moments for other classical orthogonal polynomials. Some combinatorial explanations and open problems are discussed.
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