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Title: An uniform approach to orthogonal rational functions on the unit circle and the real line
Authors: Bultheel, Adhemar ×
González-Vera, Pablo
Hendriksen, Erik
Njåstad, Olav
Issue Date: Jun-1992
Publisher: Department of Computer Science, K.U.Leuven
Series Title: TW Reports vol:TW171
Abstract: We give the recurrence relations, interpolating properties and convergence
results for a sequence of orthogonal rational functions of increasing
order that have fixed poles in some region O of the complex plane.
They are orthogonalized with respect to a measure supported on the boundary S of O.
We give formulations of the results which are valid for S equal to the
unit circle or the real line. The corresponding region O is then the
exterior of the unit disk or the lower half plane.
Publication status: published
KU Leuven publication type: IR
Appears in Collections:Numerical Analysis and Applied Mathematics Section
× corresponding author

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