Generating functions of Cauchy-Stieltjes type for orthogonal polynomials
Probability
2009-02-02 v2
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.
Keywords
Cite
@article{arxiv.0712.0156,
title = {Generating functions of Cauchy-Stieltjes type for orthogonal polynomials},
author = {Marek Bozejko and Nizar Demni},
journal= {arXiv preprint arXiv:0712.0156},
year = {2009}
}
Comments
accepted for publication in IDA-QP (Vol. 12, No. 1 March (2009)