Orthogonal rational functions on a semi-infinite interval. (English) Zbl 0614.42013

Boyd, John P.

J. Comput. Phys. 70, 63-88 (1987).

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.

Reviewer: J.Karlsson

MSC:

42C10	Fourier series in special orthogonal functions (Legendre polynomials, Walsh functions, etc.)
41A20	Approximation by rational functions

Keywords:

Möbius transform; Chebyshev polynomials; eigenproblems; numerical examples

References:

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