subject: Walter Gautschi Archives subject: Modification algorithms for orthogonal polynomials date: 2016
Total is 51 Results
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 half-range generalized Hermite weight function with exponent -1/2
10.4231/R7Q81B2B
11/29/2016
32-digit values of the first 100 recurrence coefficients for the weight function w(x)=x^(2*mu)*exp(-x^2) on [0,Inf], mu=-1/4
Computer Science Hermite weight function Jacobi weight functions Mathematics Modification algorithms for orthogonal polynomials Orthogonal polynomials Walter Gautschi Archives
32-digit values of the first 100 recurrence coefficients for the half-range generalized Hermite weight function with exponent 1/2
10.4231/R7KH0K95
11/29/2016
32-digit values of the first 100 recurrence coefficients for the weight function w(x)=x^(2*mu)*exp(-x^2) on [0,Inf], mu=1/4
Computer Science Hermite weight function Mathematics Modification algorithms for orthogonal polynomials Orthogonal polynomials Walter Gautschi Archives weight functions
32-digit values of the first 100 recurrence coefficients for the Jacobi weight function on [0,1] with exponents 1/2 times a logarithmic factor
10.4231/R79Z92VJ
10/21/2016
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=b=1/2
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)=x^(-1/2)*[log(1/x)]^2 on [0,1]
10.4231/R72J68T4
10/21/2016
32-digit values of the first 100 recurrence coefficients for the weight function w(x)=x^a*[log(1/x)]^2 on [0,1], a=-1/2
Computer Science Mathematics Modification algorithms for orthogonal polynomials Orthogonal polynomials Walter Gautschi Archives weight functions
32-digits values of the first 100 recurrence coefficients for the weight function w(x)=x^(1/2)*[log(1/x)]^2 on [0,1]
10.4231/R7XS5SC9
10/21/2016
32-digit values of the first 100 recurrence coefficients for the weight function w(x)=x^a*[log(1/x)]^2 on [0,1], a=1/2
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)=exp(-x)*(x-1-log(x)) on [0,Inf] obtained from moments
10.4231/R7T151N8
11/22/2016
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 Laguerre polynomials Laguerre weight functions Mathematics Modification algorithms for orthogonal polynomials Orthogonal polynomials Walter Gautschi Archives
32-digit values of the first 100 recurrence coefficients for the weight function w(x)=x^(1/2)*exp(-x)*(x-1-log(x)) on [0,Inf] obtained from moments
10.4231/R7JH3J5S
11/30/2016
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=1/2
Computer Science Laguerre polynomials Laguerre weight functions Mathematics Modification algorithms for orthogonal polynomials Orthogonal polynomials Walter Gautschi Archives weight functions
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