subject: Walter Gautschi Archives subject: Modification algorithms for orthogonal polynomials
Total is 230 Results
32-digit values of the first 64 recurrence coefficients for orthogonal polynomials relative to a weight function on [0,1] containing a logarithmic singularity
10.4231/R7H1300S
04/27/2017
32-digit values of the first 64 recurrence coefficients for the weight function w(x)=x*exp(-x)*log(1+1/x) on [0,1]
Computer Science Mathematics Modification algorithms for orthogonal polynomials Orthogonal polynomials Walter Gautschi Archives weight functions
32-digit values of the first 64 recurrence coefficients for the weight function w(x)=x*exp(-x)*log(1+1/x) on [1,Inf]
10.4231/R7MS3QRV
04/27/2017
32-digit values of the first 64 recurrence coefficients for the weight function w(x)=x^a*exp(-x)*log(1+1/x) on [1,Inf], a=1
Computer Science Mathematics Modification algorithms for orthogonal polynomials Orthogonal polynomials Walter Gautschi Archives weight functions
32-digit values of the first 62 recurrence coefficients for the weight function w(x)=x^5*exp(-x)*log(1+1/x) on [1,Inf]
10.4231/R73R0QWH
05/09/2017
32-digit values of the first 62 recurrence coefficients for the weight function w(x)=x^a*exp(-x)*log(1+1/x) on [1,Inf], a=5
Computer Science Mathematics Modification algorithms for orthogonal polynomials Orthogonal polynomials Walter Gautschi Archives weight functions
32-digit values of the first 63 recurrence coefficients for the weight function w(x)=x^3*exp(-x)*log(1+1/x) on [1,Inf]
10.4231/R74Q7S09
04/27/2017
32-digit values of the first 63 recurrence coefficients for the weight function w(x)=x^a*exp(-x)*log(1+1/x) on [1,Inf], a=3
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 an Airy weight function
10.4231/R7V122R6
10/19/2016
32-digit values of the first 100 recurrence coefficients for the (normalized) weight function w(x)=c*x^(-5/6)e^(-x)Ai((3x/2)^(2/3)) on [0,Inf], c=2^(-1/6)*3^(1/6)/pi^(1/2), where Ai is the Airy function
Airy weight function Computer Science Mathematics Modification algorithms for orthogonal polynomials Orthogonal polynomials Quadrature and cubature formulas Walter Gautschi Archives
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
32-digit values of the first 100 recurrence coefficients for the weight function w(x)=(1-x)^(-1/2)*x^(-1/2)*log(1/x) on [0,1]
10.4231/R7K64G26
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 = -1/2
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 for the weight function w(x)=(1-x)^(1/2)*x^(1/2)*log(1/x) on [0,1]
10.4231/R76W981N
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 = 1/2
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 for the weight function w(x)=(1-x)^(-1/2)*log(1/x) on [0,1]
10.4231/R7348HBP
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
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