subject: Gaussian quadrature creator: Walter Gautschi, 0000-0001-9184-8899
10.4231/R71Z4290
04/22/2014
32-digit values of the first 100 recurrence coefficients for orthogonal polynomials relative to the Theodorus weight function w(x)=x^1/2}/(e^x-1) on R_+} computed by the routine sr_theodorus(100,32)
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/R7QN64N5
03/21/2014
28-digit values of the recursion coefficients for orthogonal polynomials relative to the Airy weight function w(x)= frac2^2/3}pi}3^5/6}Gamma(2/3)} *x^-2/3}exp(-x)Ai((3x/2)^2/3}) on [0,infty]
Airy weight function Computer Science Equation Table Gaussian quadrature Mathematics Orthogonal polynomials Quadrature and cubature formulas Walter Gautschi Archives
10.4231/R7JW8BS2
04/22/2014
28-digit values of the recursion coefficients for orthogonal polynomials relative to the Bessel weight function w(x)=fracsqrt3}}pi}K_1/3}(x) on [0,infty]
Computer Science Equation Table Gaussian quadrature K-Bessel weight function Mathematics Orthogonal polynomials Quadrature and cubature formulas Walter Gautschi Archives
10.4231/R7H12ZX3
04/22/2014
32-digit values of the first 100 recurrence coefficients for orthogonal polynomials relative to the Bose-Einstein weight function w(x)=x/(e^x-1) computed by the SOPQ routine sr_boseeinstein(100,1,32)
Bose-Einstein distribution Computer Science Equation Table Gaussian quadrature Mathematics Matlab OPQ routine Orthogonal polynomials Quadrature and cubature formulas Walter Gautschi Archives
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/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
10.4231/R7R78C5Q
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=8
Computer Science Equation Table Freud polynomials Freud weight function Gaussian quadrature Mathematics Matlab OPQ routine Orthogonal polynomials Walter Gautschi Archives
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