Datasets: All

  1. 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]

    2014-03-21 12:01:01 | Datasets | Contributor(s): Walter Gautschi | doi:10.4231/R7QN64N5

    28-digit values of the recursion coefficients for orthogonal polynomials 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]

    https://purr.purdue.edu/publications/1474

  2. 32-digit values of the first 100 recurrence coefficients for a logarithmic weight function with rational square-root argument

    2017-03-23 14:59:26 | Datasets | Contributor(s): Walter Gautschi | doi:10.4231/R7XG9P5S

    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]

    https://purr.purdue.edu/publications/2439

  3. 32-digit values of the first 100 recurrence coefficients for a modified Bessel weight function

    2016-11-23 19:39:58 | Datasets | Contributor(s): Walter Gautschi | doi:10.4231/R73F4MKN

    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

    https://purr.purdue.edu/publications/1475

  4. 32-digit values of the first 100 recurrence coefficients for the Bose-Einstein weight function

    2016-11-30 16:48:34 | Datasets | Contributor(s): Walter Gautschi | doi:10.4231/R7MG7MGF

    32-digit values of the first 100 recurrence coefficients for the weight function w(x)=[x/(exp(x)-1)]^r on [0,Inf], r=1

    https://purr.purdue.edu/publications/1476

  5. 32-digit values of the first 100 recurrence coefficients for the Bose-Einstein-type weight function with exponent 2

    2016-11-30 16:49:07 | Datasets | Contributor(s): Walter Gautschi | doi:10.4231/R7GQ6VQ8

    32-digit values of the first 100 recurrence coefficients for the weight function w(x)=[x/(exp(x)-1)]^r on [0,Inf], r=2

    https://purr.purdue.edu/publications/1478

  6. 32-digit values of the first 100 recurrence coefficients for the Bose-Einstein-type weight function with exponent 3

    2016-11-29 13:20:09 | Datasets | Contributor(s): Walter Gautschi | doi:10.4231/R7BZ640B

    32-digit values of the first 100 recurrence coefficients for the weight function w(x)=[x/(exp(x)-1)]^r on [0,Inf], r=3

    https://purr.purdue.edu/publications/1479

  7. 32-digit values of the first 100 recurrence coefficients for the Bose-Einstein-type weight function with exponent 4

    2016-11-29 13:20:40 | Datasets | Contributor(s): Walter Gautschi | doi:10.4231/R7765C8X

    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

    https://purr.purdue.edu/publications/1480

  8. 32-digit values of the first 100 recurrence coefficients for the Fermi-Dirac weight function

    2016-11-29 13:32:22 | Datasets | Contributor(s): Walter Gautschi | doi:10.4231/R7HQ3WW3

    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

    https://purr.purdue.edu/publications/1481

  9. 32-digit values of the first 100 recurrence coefficients for the Freud weight function with exponent 10

    2016-11-29 13:24:20 | Datasets | Contributor(s): Walter Gautschi | doi:10.4231/R74F1NPK

    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

    https://purr.purdue.edu/publications/1486

  10. 32-digit values of the first 100 recurrence coefficients for the Freud weight function with exponent 4

    2016-11-29 13:21:13 | Datasets | Contributor(s): Walter Gautschi | doi:10.4231/R7VX0DHD

    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

    https://purr.purdue.edu/publications/1487

  11. 32-digit values of the first 100 recurrence coefficients for the Freud weight function with exponent 6

    2016-11-29 13:22:11 | Datasets | Contributor(s): Walter Gautschi | doi:10.4231/R70P0X0Q

    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

    https://purr.purdue.edu/publications/1488

  12. 32-digit values of the first 100 recurrence coefficients for the Freud weight function with exponent 8

    2016-11-29 13:23:13 | Datasets | Contributor(s): Walter Gautschi | doi:10.4231/R7R78C5Q

    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

    https://purr.purdue.edu/publications/1489

  13. 32-digit values of the first 100 recurrence coefficients for the half-range generalized Hermite weight function with exponent 0

    2016-11-29 15:07:32 | Datasets | Contributor(s): Walter Gautschi | doi:10.4231/R7ZP443R

    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

    https://purr.purdue.edu/publications/1490

  14. 32-digit values of the first 100 recurrence coefficients for the Jacobi weight function on [0,1] with exponents -1/2 times a logarithmic factor

    2016-10-21 13:05:28 | Datasets | Contributor(s): Walter Gautschi | doi:10.4231/R7FQ9TKW

    32-digit values of the first 100 recurrence coefficients for the weight function w(x)=(1-x)^a*x^b*log(1/x) on [0,1], a=b=-1/2

    https://purr.purdue.edu/publications/2233

  15. 32-digit values of the first 100 recurrence coefficients for the Theodorus weight function

    2016-11-29 13:54:00 | Datasets | Contributor(s): Walter Gautschi | doi:10.4231/R7CZ354Q

    32-digit values of the first 100 recurrence coefficients for the weight function w(x)=x^(1/2)/(exp(x)-1) on [0,Inf]

    https://purr.purdue.edu/publications/1472

  16. 32-digit values of the first 100 recurrence coefficients for the weight function w(x)=x^(-1/2)*exp(-x)*(x-1-log(x)) on [0,Inf] obtained from modified moments

    2016-12-05 18:01:58 | Datasets | Contributor(s): Walter Gautschi | doi:10.4231/R7SQ8XDM

    32-digit values of the first 100 recurrence coefficients for the weight function w(x)=x^a*exp(-x)*(x-1-log(x)) on [0,Inf], a=-1/2

    https://purr.purdue.edu/publications/2302

  17. 32-digit values of the first 100 recurrence coefficients for the weight function w(x)=x^(-1/2)*exp(-x)*(x-1-log(x)) on [0,Inf] obtained from moments

    2017-01-10 20:09:23 | Datasets | Contributor(s): Walter Gautschi | doi:10.4231/R79P2ZMR

    32-digit values of the first 100 recurrence coefficients for the weight function w(x)=x^a*exp(-x)*(x-1-log(x)) on [0,Inf], a=-1/2

    https://purr.purdue.edu/publications/2298

  18. 32-digit values of the first 100 recurrence coefficients for the weight function w(x)=x^(1/2)*exp(-x)*(x-1-log(x)) on [0,Inf] obtained from modified moments

    2016-12-05 18:05:47 | Datasets | Contributor(s): Walter Gautschi | doi:10.4231/R78P5XHT

    32-digit values of the first 100 recurrence coefficients for the weight function w(x)=x^a*exp(-x)*(x-1-log(x)) on [0,Inf], a=1/2

    https://purr.purdue.edu/publications/2304

  19. 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

    2017-05-10 18:40:29 | Datasets | Contributor(s): Walter Gautschi | doi:10.4231/R7CZ3555

    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

    https://purr.purdue.edu/publications/2452

  20. Gauss quadrature and Christoffel function for a Binet-like weight function

    2020-05-23 18:27:07 | Datasets | Contributor(s): Walter Gautschi | doi:10.4231/YSMS-5A34

    A set of MATLAB scripts related to Gauss quadrature and Christoffel function for a Binet-like weight function

    https://purr.purdue.edu/publications/3460

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