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arXiv 2015-02-05 0 views

Orthogonal polynomials on the disk in the absence of finite moments

Gibson, Peter C.

Original · EN

We introduce a new family of orthogonal polynomials on the disk that has emerged in the context of wave propagation in layered media. Unlike known examples, the polynomials are orthogonal with respect to a measure all of whose even moments are infinite.

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