subject: Orthogonal polynomials subject: Mathematics
Total is 276 Results
CHA: Matlab programs for computing a challenging integral
10.4231/R7QJ7F7V
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
BIJ: Matlab programs for testing and extending Bernstein's Inequality for Jacobi polynomials
10.4231/R7V985Z5
04/23/2014
Bernstein’s inequality for Jacobi polynomials is analyzed here analytically and computationally with regard to validity and sharpness
Bernstein’s inequality Computer Science Erdelyi–Magnus–Nevai conjecture Jacobi polynomials Mathematics Matlab Orthogonal polynomials Sharpness Software source code Walter Gautschi Archives
CIZJP: Matlab programs for conjectured inequalities for zeros of Jacobi polynomials
10.4231/R7KS6PH4
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
32-digit values of the first 100 recurrence coefficients for the half-range Freud weight function with exponent 8
10.4231/R76D5R5W
10/23/2017
32-digit values of the first 100 recurrence coefficients for the weight function w(x)=x^mu*exp(-x^nu) on [0,Inf], mu=0, nu=8
Computer Science Freud weight function Mathematics Matlab Modification algorithms for orthogonal polynomials Orthogonal polynomials Walter Gautschi Archives weight functions
32-digit values of the first 100 recurrence coefficients for the half-range Freud weight function with exponent 10
10.4231/R72N50FJ
10/23/2017
32-digit values of the first 100 recurrence coefficients for the weight function w(x)=x^mu*exp(-x^nu) on [0,Inf], mu=0, nu=10
Computer Science Freud weight function Mathematics Matlab Modification algorithms for orthogonal polynomials Orthogonal polynomials Walter Gautschi Archives weight functions
32-digit values of the first 100 recurrence coefficients for the half-range Freud weight function with exponent 6
10.4231/R7B56GW6
10/23/2017
32-digit values of the first 100 recurrence coefficients for the weight function w(x)=x^mu*exp(-x^nu) on [0,Inf], mu=0, nu=6
Computer Science Freud weight function Mathematics Matlab Orthogonal polynomials Walter Gautschi Archives weight functions
32-digit values of the first 100 recurrence coefficients for the generalized Binet weight function with parameter 1/2
10.4231/R7ZW1J3N
10/23/2017
32-digit values of the first 100 recurrence coefficients for the weight function w(x)=-log(1-a*exp(-|x|)) on [-Inf,Inf], a = 1/2
Binet weight function Computer Science Mathematics Modification algorithms for orthogonal polynomials Orthogonal polynomials Walter Gautschi Archives weight functions
32-digit values of the first 100 recurrence coefficients for the squared generalized Binet weight function with parameter 1/2
10.4231/R7V40SC7
10/23/2017
32-digit values of the first 100 recurrence coefficients for the weight function w(x)=log^2(1-a*exp(-|x|)) on [-Inf,Inf], a = 1/2
Binet weight function Computer Science Mathematics Matlab Modification algorithms for orthogonal polynomials Orthogonal polynomials Walter Gautschi Archives weight functions
32-digit values of the first 100 recurrence coefficients for the half-range generalized Binet weight function with parameter 1/2
10.4231/R7QC01NW
10/23/2017
32-digit values of the first 100 recurrence coefficients for the half-range generalized Binet weight function w(x)=-log(1-a*exp(-x)) on [0,Inf], a = 1/2
Binet weight function Computer Science Mathematics Matlab Modification algorithms for orthogonal polynomials Orthogonal polynomials Walter Gautschi Archives weight functions
Gauss quadrature and Christoffel function for Jacobi weight functions
10.4231/17YY-MC20
06/12/2020
A set of MATLAB scripts related to Gauss quadrature and the Christoffel function for Jacobi weight functions
Computer Science Jacobi polynomials Jacobi weight functions Mathematics Modification algorithms for orthogonal polynomials Orthogonal polynomials Walter Gautschi Archives weight functions
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