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TW 312
P. Van gucht and A. Bultheel
Computing orthogonal rational functions analytic outside the unit disc
Abstract
The main accomplishment of this article is an algorithm that computes the reflection coefficients of the orthogonal rational functions, given the (finite number of) moments of the measure. Therefore we give some results for the orthogonal rational functions (ORF) with respect to a given positive measure and with given poles inside the unit disc. These results are already known for ORF with poles outside the unit disc and the proofs are mainly a rewriting of the case where the poles lay outside the unit disc.
report.pdf / mailto: P. Van gucht