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Orthogonal rational functions on a semi-infinite interval. (English) Zbl 0614.42013
The author obtains a sequence of orthogonal functions on [0,[ 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.
Reviewer: J.Karlsson

MSC:
42C10Fourier series in special orthogonal functions
41A20Approximation by rational functions