subject: Mathematics subject: Orthogonal polynomials
Total is 276 Results
32-digit values of the first 65 recurrence coefficients for orthogonal polynomials relative to a weight function on [0,1] containing a logarithmic singularity
10.4231/R7RJ4GGK
04/27/2017
32-digit values of the first 65 recurrence coefficients for the weight function w(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 65 recurrence coefficients for the weight function w(x)=exp(-x)*log(1+1/x) on [1,Inf]
10.4231/R7028PJT
05/09/2017
32-digit values of the first 65 recurrence coefficients for the weight function w(x)=x^a*exp(-x)*log(1+1/x) on [1,Inf], a=0
Computer Science Mathematics Modification algorithms for orthogonal polynomials Orthogonal polynomials Walter Gautschi Archives weight functions
32-digit values of the first 65 recurrence coefficients for the Krylov-Pal'tsev weight function w(x)=exp(-x)*log(1+1/x) on [0,Inf] with exponent 0
10.4231/R7CZ3555
05/10/2017
32-digit values of the first 65 recurrence coefficients for the Krylov-Pal'tsev weight function w(x)=x^a*exp(-x)*log(1+1/x) on [0,Inf], a=0
Computer Science Gaussian quadrature Mathematics Modification algorithms for orthogonal polynomials Orthogonal polynomials Walter Gautschi Archives weight functions
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
SOPQ: Symbolic OPQ
10.4231/R7MW2F3P
02/20/2020
This includes symbolic versions of some of the more important OPQ routines.
Airy weight function Bose-Einstein distribution Chebyshev-type quadratures Classical weight functions Computer Science Fermi Dirac weight Function Freud weight function Gauss-type quadrature rules Hermite weight function Jacobi weight functions K-Bessel weight function Laguerre weight functions Mathematics Matlab OPQ routine Orthogonal polynomials Perl Script quadrature Software source code Walter Gautschi Archives Walter Gautschi Selected Works
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 Fermi-Dirac weight function
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
32-digit values of the first 100 recurrence coefficients for the Theodorus weight function
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
32-digit values of the first 100 recurrence coefficients for an algebraically/logarithmically singular weight function on (0,1)
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
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