Generating functions of Cauchy-Stieltjes type for orthogonal polynomials
arXiv:0712.0156
Abstract
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)