Generating functions of Cauchy-Stieltjes type for orthogonal polynomials

Details Generating functions of Cauchy-Stieltjes type for orthogonal polynomials Generating functions of Cauchy-Stieltjes type for orthogonal polynomials

2007-12-02

arxiv.org/abs/0712.0156v2

Mathematics

Probability

accepted for publication in IDA-QP (Vol. 12, No. 1 March (2009)

Scientific paper

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.

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