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arxiv: 0812.3666 · v4 · submitted 2008-12-18 · 🧮 math.PR · math.CA

Ultraspherical type generating functions for orthogonal polynomials

classification 🧮 math.PR math.CA
keywords functionsgeneratingorthogonalpolynomialstypeultrasphericalcharacterizeconjecture
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We characterize, up to a conjecture, probability distributions of all order finite moments having ultraspherical type generating functions for orthogonal polynomials.

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