subject: Equation Table subject: Orthogonal polynomials
Total is 30 Results
32-digit values of the first 100 recurrence coefficients for the Bose-Einstein-type weight function with exponent 4
10.4231/R7765C8X
11/29/2016
32-digit values of the first 100 recurrence coefficients for the weight function w(x)=[x/(exp(x)-1)]^r on [0,Inf], r=4
Bose-Einstein distribution Computer Science Equation Table Gaussian quadrature Mathematics Matlab OPQ routine Orthogonal polynomials Walter Gautschi Archives
32-digit values of the first 100 recurrence coefficients for a modified Bessel weight function
10.4231/R73F4MKN
11/23/2016
32-digit values of the first 100 recurrence coefficients for the weight function w(x)=c*K_nu(x) on [0,Inf], c=2cos(nu*pi/2)/pi, nu=1/3
Computer Science Equation Table Gaussian quadrature K-Bessel weight function Mathematics Orthogonal polynomials Quadrature and cubature formulas Walter Gautschi Archives
32-digit values of the first 100 recurrence coefficients for the half-range generalized Hermite weight function with exponent 0
10.4231/R7ZP443R
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=0
Computational methods Computer Science Equation Table Gaussian quadrature Hermite weight function Hilbert Transforms Integral Transforms Mathematics Matlab Numerical integrations OPQ routine Orthogonal polynomials Walter Gautschi Archives
32-digit values of the first 100 recurrence coefficients relative to the weight function w(x)=x^{1/2}(1-x)^{1/2}log(1/x) on (0,1) computed by the SOPQ routine sr_jacobilog1(100,1/2,1/2,32)
10.4231/R74Q7RWJ
04/22/2014
32-digit values of the first 100 recurrence coefficients for orthogonal polynomials relative to the weight function w(x)=x^1/2}(1-x)^1/2}log(1/x) on (0,1) computed by the SOPQ routine sr_jacobilog1(100,1/2,1/2,32)
Computer Science Equation Table Gauss-Radau formula Jacobi polynomials Jacobi weight functions Mathematics Matlab OPQ routine Orthogonal polynomials Walter Gautschi Archives
32-digit values of the first 100 recurrence coefficients relative to the Theodorus weight function w(x)=x^{1/2}/(e^x-1) on R_{+} computed by the routine sr_theodorus(100,32)
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
28-digit values of the recursion coefficients relative to the Airy weight function w(x)= frac{2^{2/3}pi}{3^{5/6}Gamma(2/3)} *x^{-2/3}exp(-x)Ai((3x/2)^{2/3}) on [0,infty]
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
28-digit values of the recursion coefficients relative to the Bessel weight function w(x)=frac{sqrt{3}}{pi}K_{1/3}(x) on [0,infty]
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
32-digit values of the first 100 recurrence coefficients relative to the Bose-Einstein weight function w(x)=x/(e^x-1) computed by the SOPQ routine sr_boseeinstein(100,1,32)
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
32-digit values of the first 100 recurrence coefficients relative to the Bose-Einstein weight function w(x)=[x/(e^x-1)]^2 computed by the SOPQ routine sr_boseeinstein(100,2,32)
10.4231/R77H1GGF
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)]^2 computed by the SOPQ routine sr_boseeinstein(100,2,32)
Bose-Einstein distribution Computer Science Equation Table Gaussian quadrature Mathematics Matlab OPQ routine Orthogonal polynomials Walter Gautschi Archives
32-digit values of the first 100 recurrence coefficients relative to the Bose-Einstein weight function w(x)=[x/(e^x-1)]^3 computed by the SOPQ routine sr_boseeinstein(100,3,32)
10.4231/R73R0QRQ
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)]^3 computed by the routine sr_boseeinstein(100,3,32)
Bose-Einstein distribution Computer Science Equation Table Gaussian quadrature Mathematics Matlab OPQ routine Orthogonal polynomials Walter Gautschi Archives
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