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OWF: Matlab programs for computing orthogonal polynomials with respect to densely oscillating and exponentially decaying weight functions

10.4231/R7NK3BZ7

Walter Gautschi, 0000-0001-9184-8899

04/23/2014

Software (in Matlab) is developed for computing variable-precision recurrence coefficients for orthogonal polynomials with respect to densely oscillating and exponentially decaying weight functions

Computer Science Densely oscillating weight functions Exponentially decaying weight functions Gaussian quadrature Mathematics Matlab Orthogonal polynomials Walter Gautschi Archives

CHA: Matlab programs for computing a challenging integral

10.4231/R7QJ7F7V

Walter Gautschi, 0000-0001-9184-8899

04/23/2014

Matlab and FORTRAN codes to evaluate a densely and wildly oscillatory integral that had been proposed as a computational problem in the SIAM 100-Digit Challenge.

Computer Science FORTRAN Gauss quadrature approximation Jacobi weight functions Mathematics Matlab Numerical Evaluation Orthogonal polynomials Oscillatory integrals Software source code Walter Gautschi Archives

CIZJP: Matlab programs for conjectured inequalities for zeros of Jacobi polynomials

10.4231/R7KS6PH4

Walter Gautschi, 0000-0001-9184-8899

04/23/2014

Inequalities for the largest zero of Jacobi polynomials are here extended to all zeros of Jacobi polynomials, and new relevant conjectures are formulated.

Computer Science Gauss quadrature approximation Inequalities Jacobi polynomials Mathematics Matlab Orthogonal polynomials Walter Gautschi Archives zeros

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