Generating functions of Cauchy-Stieltjes type for orthogonal polynomials
classification
🧮 math.PR
keywords
appliescauchy-stieltjescharacterizefamilyformulafreefunctionsgenerating
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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.
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