subject: Mathematics type: dataset
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/R7CV4FQ0
03/10/2017
32-digit values of the first 100 recurrence coefficients for the weight function w(x)=|x|^c*(1-x)^a*(1+x)^b on [-1,1], a=-1/2, b=3/2, c=1
Computer Science Mathematics Modification algorithms for orthogonal polynomials Orthogonal polynomials Walter Gautschi Archives weight functions
10.4231/R7833Q1F
03/10/2017
32-digit values of the first 100 recurrence coefficients for the weight function w(x)=|x|^c*(1-x)^a*(1+x)^b on [-1,1], a=-1/2, b=3/2, c=-3/4
Computer Science Mathematics Modification algorithms for orthogonal polynomials Orthogonal polynomials Walter Gautschi Archives weight functions
10.4231/R7NC5Z6H
03/10/2017
32-digit values of the first 100 recurrence coefficients for the weight function w(x)=|x|^c*(1-x)^a*(1+x)^b on [-1,1], a=3/2, b=-1/2, c=-3/4
Computer Science Mathematics Modification algorithms for orthogonal polynomials Orthogonal polynomials Walter Gautschi Archives weight functions
10.4231/R7ST7MTX
03/23/2017
32-digit values of the first 100 recurrence coefficients for the weight function w(x)=log((1+x)/(1-x)) on [0,1]
Computer Science Mathematics Modification algorithms for orthogonal polynomials Orthogonal polynomials Walter Gautschi Archives weight functions
10.4231/R7GH9FZH
03/22/2017
Matlab routines for the first N recurrence coefficients of associated Legendre polynomials
Computer Science Legendre polynomials Mathematics Modification algorithms for orthogonal polynomials Orthogonal polynomials Walter Gautschi Archives weight functions
10.4231/R7BR8Q6R
03/22/2017
32-digit values of the first 100 recurrence coefficients for the weight function w(x)=-log(1-x^2) on [-1,1]
Computer Science Mathematics Modification algorithms for orthogonal polynomials Modified Chebyshev algorithm Orthogonal polynomials Walter Gautschi Archives weight functions
10.4231/R7XG9P5S
03/23/2017
32-digit values of the first 100 recurrence coefficients for the weight function w(x)=log((1+x^(1/2))/(1-x^(1/2))) on [0,1]
Computer Science Gaussian quadrature Mathematics Modification algorithms for orthogonal polynomials Orthogonal polynomials Walter Gautschi Archives weight functions
10.4231/R72805M5
03/23/2017
32-digit values of the first 100 recurrence coefficients for the weight function w(x)=E_nu(x) on (0,Inf], nu=1
Computer Science Mathematics Modification algorithms for orthogonal polynomials Orthogonal polynomials Walter Gautschi Archives weight functions
10.4231/R7P26W4C
03/23/2017
32-digit values of the first 100 recurrence coefficients for the weight function w(x)=x^a*[log(e/x)]^b on [0,1], a=-1/2, b=1
Computer Science Mathematics Modification algorithms for orthogonal polynomials moment-based method Orthogonal polynomials Walter Gautschi Archives weight functions
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