Title: Orthogonal rational functions with complex poles: The Favard theorem
Authors: Deckers, Karl ×
Bultheel, Adhemar #
Issue Date: Aug-2009
Publisher: Academic Press
Series Title: Journal of Mathematical Analysis and Applications vol:356 issue:2 pages:764-768
Abstract: Let {φ_n} be a sequence of rational functions with arbitrary complex poles, generated by a certain three-term recurrence relation. In this paper we show that under some mild conditions, the rational functions φ_n form an orthonormal system with respect to a Hermitian positive-definite inner product.
Description: Published online 31 March 2009
ISSN: 0022-247X
Publication status: published
KU Leuven publication type: IT
Appears in Collections:NUMA, Numerical Analysis and Applied Mathematics Section
× corresponding author
# (joint) last author

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