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Zbl 0614.42013
Boyd, John P.
Orthogonal rational functions on a semi-infinite interval.
(English)
[J] J. Comput. Phys. 70, 63-88 (1987). ISSN 0021-9991

The author obtains a sequence of orthogonal functions on [0,$\infty [$ by taking a Möbius transform in the argument of the usual Chebyshev polynomials. He discusses their applicability to expansions of functions, solution of eigenproblems, and boundary value problems in seven numerical examples.
[J.Karlsson]
MSC 2000:
*42C10 Fourier series in special orthogonal functions
41A20 Approximation by rational functions

Keywords: Möbius transform; Chebyshev polynomials; eigenproblems; numerical examples

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