subject: Computer Science subject: Orthogonal polynomials
10.4231/R78K772F
01/13/2017
32-digit values of the first 100 recurrence coefficients for the weight function w(x)=(x^2)*exp[-(x^2-1)^2/(4*ε)] on [0,Inf], ε=.001
Computer Science Mathematics Modification algorithms for orthogonal polynomials Orthogonal polynomials Walter Gautschi Archives weight functions
10.4231/R74T6GBQ
01/13/2017
32-digit values of the first 100 recurrence coefficients for the weight function w(x)=(x^2)*exp[-(x^2-1)^2/(4*ε)] on [0,Inf], ε=.005
Computer Science Mathematics Modification algorithms for orthogonal polynomials Orthogonal polynomials Walter Gautschi Archives weight functions
10.4231/R7G44N8B
01/13/2017
32-digit values of the first 100 recurrence coefficients for the weight function w(x)=exp[-5*x+6*(exp(-x)-1)] on [0,Inf]
Computer Science Mathematics Modification algorithms for orthogonal polynomials Orthogonal polynomials Walter Gautschi Archives weight functions
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
10.4231/R7HQ3WW3
11/29/2016
32-digit values of the first 100 recurrence coefficients for the weight function w(x)=[1/(exp(x)+1)]^r on [0,Inf], r=1
Computer Science Equation Table Fermi Dirac weight Function Gaussian quadrature Mathematics Matlab OPQ routine Orthogonal polynomials Walter Gautschi Archives
10.4231/R7CZ354Q
11/29/2016
32-digit values of the first 100 recurrence coefficients for the weight function w(x)=x^(1/2)/(exp(x)-1) on [0,Inf]
Bose-Einstein distribution Computer Science Equation Table Gaussian quadrature Mathematics Moment problem Numerical integrations Orthogonal polynomials Quadrature and cubature formulas Slowly convergent series Spiral of Theodorus Summation of series Walter Gautschi Archives
10.4231/R7862DD9
10/12/2016
32-digit values of the first 100 recurrence coefficients for orthogonal polynomials relative to the weight function w(x)=(1-x)^-1/2}x^1/2}log(1/x) on (0,1)
Computer Science Equation Table Gauss-Radau formula Jacobi polynomials Jacobi weight functions Mathematics Matlab OPQ routine Orthogonal polynomials Walter Gautschi Archives
10.4231/R74F1NPK
11/29/2016
32-digit values of the first 100 recurrence coefficients for the weight function w(x)=x^mu*exp(-x^nu) on [-Inf,Inf], mu=0, nu=10
Computer Science Equation Table Freud polynomials Freud weight function Gaussian quadrature Mathematics Matlab OPQ routine Orthogonal polynomials Walter Gautschi Archives
10.4231/R70P0X0Q
11/29/2016
32-digit values of the first 100 recurrence coefficients for the weight function w(x)=x^mu*exp(-x^nu) on [-Inf,Inf], mu=0, nu=6
Computer Science Equation Table Freud polynomials Freud weight function Gaussian quadrature Mathematical Concepts Mathematics OPQ routine Orthogonal polynomials Walter Gautschi Archives
10.4231/R7VX0DHD
11/29/2016
32-digit values of the first 100 recurrence coefficients for the weight function w(x)=x^mu*exp(-x^nu) on [-Inf,Inf], mu=0, nu=4
Computer Science Equation Table Freud polynomials Freud weight function Gaussian quadrature Mathematics Matlab OPQ routine Orthogonal polynomials Walter Gautschi Archives
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