Rational Gauss-Chebyshev quadrature formulas for complex poles outside $[-1,1]$
Open Access
- 28 September 2007
- journal article
- Published by American Mathematical Society (AMS) in Mathematics of Computation
- Vol. 77 (262), 967-984
- https://doi.org/10.1090/s0025-5718-07-01982-5
Abstract
In this paper we provide an extension of the Chebyshev orthogonal rational functions with arbitrary real poles outside to arbitrary complex poles outside . The zeros of these orthogonal rational functions are not necessarily real anymore. By using the related para-orthogonal functions, however, we obtain an expression for the nodes and weights for rational Gauss-Chebyshev quadrature formulas integrating exactly in spaces of rational functions with arbitrary complex poles outside .Keywords
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