Generating functions of Cauchy-Stieltjes type for orthogonal polynomials

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We characterize by the use of free probability the family of measures for which the mulitiplicative renormalization method applies with $h(x) = (1-x)^_{-1}$. This provides a representation formula for their Voiculescu Transforms.
accepted for publication in IDA-QP (Vol. 12, No. 1 March (2009)

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Probability, 33C45; 42C05

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http://salesiana.dossiersoluciones.com/handle/123456789/217921

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/0712.0156
 http://arxiv.org/abs/0712.0156

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arXiv