Tags: Walter Gautschi Archives

Resources (1-20 of 228)

  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 11:53:49 | 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. 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]

    2014-04-22 10:43:11 | Datasets | Contributor(s): Walter Gautschi | doi:10.4231/R7JW8BS2

    28-digit values of the recursion coefficients for orthogonal polynomials relative to the Bessel weight function w(x)=frac{sqrt{3}}{pi}K_{1/3}(x) on [0,infty]

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

  3. 32-digit values of the first 100 beta coefficients relative to the Freud weight function w(x)=exp(-x^4) computed on R by the SOPQ routine sr_freud(100,0,4,32)

    2014-04-22 07:30:30 | Datasets | Contributor(s): Walter Gautschi | doi:10.4231/R7PN93HS

    32-digit values of the first 100 beta coefficients relative to the Freud weight function w(x)=exp(-x^4) computed on R by the SOPQ routine sr_freud(100,0,4,32)

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

  4. 32-digit values of the first 100 beta coefficients relative to the Freud weight function w(x)=exp(-x^6) computed on R by the SOPQ routine sr_freud(100,0,6,32)

    2014-04-22 11:07:17 | Datasets | Contributor(s): Walter Gautschi | doi:10.4231/R7Z60KZ0

    32-digit values of the first 100 beta coefficients relative to the Freud weight function w(x)=exp(-x^6) computed on R by the SOPQ routine sr_freud(100,0,6,32)

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

  5. 32-digit values of the first 100 beta coefficients relative to the Freud weight function w(x)=exp(-x^8) computed on R by the SOPQ routine sr_freud(100,0,8,32)

    2014-04-22 07:27:58 | Datasets | Contributor(s): Walter Gautschi | doi:10.4231/R7TD9V74

    32-digit values of the first 100 beta coefficients relative to the Freud weight function w(x)=exp(-x^8) computed on R by the SOPQ routine sr_freud(100,0,8,32)

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

  6. 32-digit values of the first 100 beta coefficients relative to the Freud weight function w(x)=exp(-x^{10}) computed on R by the SOPQ routine sr_freud(100,0,10,32)

    2014-04-22 07:44:39 | Datasets | Contributor(s): Walter Gautschi | doi:10.4231/R7F769GC

    32-digit values of the first 100 beta coefficients relative to the Freud weight function w(x)=exp(-x^{10}) computed on R by the SOPQ routine sr_freud(100,0,10,32)

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

  7. 32-digit values of the first 100 recurrence coefficients relative to the Fermi-Dirac weight function w(x)=1/(e^x+1) computed by the SOPQ routine sr_fermidirac(100,1,32)

    2016-10-11 15:06:12 | Datasets | Contributor(s): Walter Gautschi | doi:10.4231/R7C82765

    32-digit values of the first 100 recurrence coefficients relative to the Fermi-Dirac weight function w(x)=1/(e^x+1) computed by the SOPQ routine sr_fermidirac(100,1,32)

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

  8. 32-digit values of the first 100 recurrence coefficients for a Binet-like weight function

    2017-05-09 13:19:20 | Datasets | Contributor(s): Walter Gautschi | doi:10.4231/R73B5X5B

    32-digit values of the first 100 recurrence coefficients for the weight function w(x)=log(1+exp(-abs(x))) on [-Inf,Inf]

    https://purr.purdue.edu/publications/2521

  9. 32-digit values of the first 100 recurrence coefficients for a four-parameter exponential weight function with parameters 1, 1/2, 1/2, -3/2

    2017-01-30 17:16:39 | Datasets | Contributor(s): Walter Gautschi | doi:10.4231/R7W66HSK

    32-digit values of the first 100 recurrence coefficients for the weight function (inverse Gaussian distribution) w(x)=const*x^d*exp(-b/x^a-c*x^a) on [0,Inf], const=exp(1)/√(2*π), a=1, b=c=1/2, d=-3/2

    https://purr.purdue.edu/publications/2379

  10. 32-digit values of the first 100 recurrence coefficients for a four-parameter exponential weight function with parameters 2, 1, 1, 0

    2017-01-20 13:51:06 | Datasets | Contributor(s): Walter Gautschi | doi:10.4231/R7F47M3H

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

    https://purr.purdue.edu/publications/2374

  11. 32-digit values of the first 100 recurrence coefficients for a four-parameter exponential weight function with parameters a=1/3, b=c=1/2, d=-7/6

    2017-01-30 17:18:09 | Datasets | Contributor(s): Walter Gautschi | doi:10.4231/R7RF5S1T

    32-digit values of the first 100 recurrence coefficients for the weight function w(x)=const*x^d*exp(-b/x^a-c*x^a), const=exp(1)/(3*√(2*pi)), a=1/3, b=c=1/2, d=-7/6

    https://purr.purdue.edu/publications/2380

  12. 32-digit values of the first 100 recurrence coefficients for a Gaussian weight function with parameters 1/2 and -1

    2017-01-25 18:20:25 | Datasets | Contributor(s): Walter Gautschi | doi:10.4231/R7D50JZ8

    32-digit values of the first 100 recurrence coefficients for the weight function w(x)=exp(-a(x-x0)^2) on [0,Inf], with a=1/2, x0=-1

    https://purr.purdue.edu/publications/2373

  13. 32-digit values of the first 100 recurrence coefficients for a Gaussian weight function with parameters 1/2 and 1

    2017-01-25 18:18:44 | Datasets | Contributor(s): Walter Gautschi | doi:10.4231/R7HX19PP

    32-digit values of the first 100 recurrence coefficients for the weight function w(x)=exp(-a(x-x0)^2) on [0,Inf], with a=1/2, x0=1

    https://purr.purdue.edu/publications/2372

  14. 32-digit values of the first 100 recurrence coefficients for a Gegenbauer weight function with parameter λ=2 multiplied by an exponential function with coefficient a=8

    2017-02-16 14:05:16 | Datasets | Contributor(s): Walter Gautschi | doi:10.4231/R78913V2

    32-digit values of the first 100 recurrence coefficients for the weight function w(x)=(1-x^2)^(λ-1/2)*exp(-a*x^2) on [-1,1], λ=2, a=8

    https://purr.purdue.edu/publications/2411

  15. 32-digit values of the first 100 recurrence coefficients for a Gegenbauer weight function with parameter λ=4 multiplied by an exponential function with coefficient a=8

    2017-02-16 14:07:53 | Datasets | Contributor(s): Walter Gautschi | doi:10.4231/R74J0C39

    32-digit values of the first 100 recurrence coefficients for the weight function w(x)=(1-x^2)^(λ-1/2)*exp(-a*x^2) on [-1,1], λ=4, a=8

    https://purr.purdue.edu/publications/2412

  16. 32-digit values of the first 100 recurrence coefficients for a Gegenbauer weight function with parameter λ=8 multiplied by an exponential function with coefficient a=-8

    2017-02-16 14:09:37 | Datasets | Contributor(s): Walter Gautschi | doi:10.4231/R7W093W1

    32-digit values of the first 100 recurrence coefficients for the weight function w(x)=(1-x^2)^(λ-1/2)*exp(-a*x^2) on [-1,1], λ=8, a=-8

    https://purr.purdue.edu/publications/2414

  17. 32-digit values of the first 100 recurrence coefficients for a Gegenbauer weight function with parameter λ=8 multiplied by an exponential function with coefficient a=8

    2017-02-16 14:08:42 | Datasets | Contributor(s): Walter Gautschi | doi:10.4231/R70R9MC1

    32-digit values of the first 100 recurrence coefficients for the weight function w(x)=(1-x^2)^(λ-1/2)*exp(-a*x^2) on [-1,1], λ=8, a=8

    https://purr.purdue.edu/publications/2413

  18. 32-digit values of the first 100 recurrence coefficients for a generalized Jacobi weight function with Jacobi parameters -1/2, 3/2 and exponent -3/4

    2017-03-01 14:56:33 | Datasets | Contributor(s): Walter Gautschi | doi:10.4231/R7833Q1F

    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

    https://purr.purdue.edu/publications/2428

  19. 32-digit values of the first 100 recurrence coefficients for a generalized Jacobi weight function with Jacobi parameters -1/2, 3/2 and exponent 1

    2017-03-01 14:53:56 | Datasets | Contributor(s): Walter Gautschi | doi:10.4231/R7CV4FQ0

    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

    https://purr.purdue.edu/publications/2427

  20. 32-digit values of the first 100 recurrence coefficients for a generalized Jacobi weight function with Jacobi parameters 3/2, -1/2 and exponent -3/4

    2017-03-01 14:51:35 | Datasets | Contributor(s): Walter Gautschi | doi:10.4231/R7NC5Z6H

    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

    https://purr.purdue.edu/publications/2429

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