Computing polynomials orthogonal with respect to densely oscillating and exponentially decaying weight functions and related integrals
نویسنده
چکیده
Software (in Matlab) is developed for computing variable-precision recurrence coefficients for orthogonal polynomials with respect to the weight functions 1+sin(1/t), 1 + cos(1/t), e−1/t on [0, 1], as well as e−1/t−t on [0,∞] and e−1/t 2 −t on [−∞,∞]. Numerical examples are given involving Gauss quadrature relative to these weight functions.
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