subject: weight functions creator: Walter Gautschi, 0000-0001-9184-8899 date: 2016
Total is 46 Results
32-digit values of the first 100 recurrence coefficients for the weight function w(x)=[(1-x^2/2)*(1-x^2)]^(-1/2) on [-1,1]
10.4231/R7HH6H1D
11/22/2016
32-digit values of the first 100 recurrence coefficients for the weight function w(x)=((1-om2*x^2)*(1-x^2))^(-1/2) on [-1,1], om2=1/2
Chebyshev weight function Computer Science Mathematics Modification algorithms for orthogonal polynomials Orthogonal polynomials Walter Gautschi Archives weight functions
OPCBSPL: Orthogonal polynomials relative to cardinal B-spline weight functions
10.4231/R7NG4NKC
10/28/2016
A stable and efficient discretization procedure is developed to compute recurrence coefficients for orthogonal polynomials whose weight function is a polynomial cardinal B-spline of order greater than, or equal to, one.
B-spline Computer Science Mathematics Modification algorithms for orthogonal polynomials Orthogonal polynomials polynomials Walter Gautschi Archives weight functions
32-digit values of the first 100 recurrence coefficients for the weight function w(x)=(1-x)^(1/2)*log(1/x) on [0,1]
10.4231/R7ZC80VC
11/22/2016
32-digit values of the first 100 recurrence coefficients for the weight function w(x)=(1-x)^a*x^b*log(1/x) on [0,1], a = 1/2, b = 0
Computer Science Mathematics Modification algorithms for orthogonal polynomials Modified Chebyshev algorithm Orthogonal polynomials Walter Gautschi Archives weight functions
32-digit values of the first 100 recurrence coefficients, obtained from modified moments, for the Laguerre weight function multiplied by a logarithmically singular function
10.4231/R7M043CX
12/12/2016
32-digit values of the first 100 recurrence coefficients for the weight function w(x)=x^a*exp(-x)*(x-1-log(x)) on [0,Inf], a=0
Computer Science Logarithmic weight functions Mathematics Modification algorithms for orthogonal polynomials Modified Chebyshev algorithm Orthogonal polynomials Walter Gautschi Archives weight functions
32-digit values of the first 100 recurrence coefficients for the second-order cardinal B-spline weight function obtained from moments
10.4231/R7XG9P4B
12/05/2016
32-digit values of the first 100 recurrence coefficients for orthogonal polynomials relative to the weight function w(x)=phi_m(x) on [0,m], m=2
B-spline Computer Science Mathematics Modification algorithms for orthogonal polynomials Orthogonal polynomials Walter Gautschi Archives weight functions
Gauss quadrature rules
10.4231/R72805KQ
12/06/2016
Variable-precision Matlab routine for generating the nodes and weights of a Gaussian quadrature rule
Computation of recurrence coefficients and special Gaussian quadrature rules Computer Science Gaussian quadrature Mathematics Walter Gautschi Archives weight functions
32-digit values of the first 100 recurrence coefficients for a square-root-logarithmic weight function
10.4231/R7NZ85NT
12/06/2016
32-digit values of the first 100 recurrence coefficients for the weight function w(x)=[log(1/x)]^b on [0,1], b=1/2
Computer Science Mathematics Modification algorithms for orthogonal polynomials moment-based method Orthogonal polynomials Walter Gautschi Archives weight functions
32-digit values of the first 100 recurrence coefficients for the weight function having an algebraic/logarithmic singularity with exponent a=1/2 and power b=3
10.4231/R7H70CSK
12/08/2016
32-digit values of the first 100 recurrence coefficients for the weight function w(x)=x^a*[log(1/x)]^b on [0,1], a=1/2, b=3
Computer Science Mathematics Modification algorithms for orthogonal polynomials Orthogonal polynomials Walter Gautschi Archives weight functions
32-digit values of the first 100 recurrence coefficients, obtained from moments, for a radiative transfer weight function with parameter c=2/3
10.4231/R7N014H9
12/08/2016
32-digit values of the first 100 recurrence coefficients for the weight function w(x)=exp(-1/x) on [0,c], c=2/3
Computer Science Gauss quadrature rules Mathematics Modification algorithms for orthogonal polynomials Orthogonal polynomials Walter Gautschi Archives weight functions
32-digit values of the first 100 recurrence coefficients for the Fermi-Dirac-type weight function with exponent r=2
10.4231/R77S7KR9
12/09/2016
32-digit values of the first 100 recurrence coefficients for orthogonal polynomials relative to the weight function w(x)=[1/(exp(x)+1)]^r on [0,Inf], r=2
Computer Science Mathematics Modification algorithms for orthogonal polynomials Orthogonal polynomials Walter Gautschi Archives weight functions
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