Datasets: All

  1. 32-digit values of the first 100 recurrence coefficients for a symmetric hyperexponential weight function

    2017-02-14 15:24:26 | Datasets | Contributor(s): Walter Gautschi | doi:10.4231/R7KP804N

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

    https://purr.purdue.edu/publications/2400

  2. 32-digit values of the first 100 recurrence coefficients for the symmetric Laguerre weight function

    2017-02-14 15:21:03 | Datasets | Contributor(s): Walter Gautschi | doi:10.4231/R7QF8QVK

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

    https://purr.purdue.edu/publications/2398

  3. 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

    2017-02-14 15:17:26 | 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

  4. 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

    2017-02-14 15:13:15 | 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

  5. Squared Abel polynomials

    2017-02-14 15:00:01 | Datasets | Contributor(s): Walter Gautschi | doi:10.4231/R74Q7RZF

    Matlab routine for the first N recurrence coefficients of squared Abel polynomials

    https://purr.purdue.edu/publications/2377

  6. Modified squared Abel polynomials

    2017-02-14 15:01:57 | Datasets | Contributor(s): Walter Gautschi | doi:10.4231/R78C9T8V

    Matlab routine for the first N recurrence coefficients of modified squared Abel polynomials

    https://purr.purdue.edu/publications/2378

  7. 32-digit values of the first 100 recurrence coefficients for a Gaussian weight function with parameters 1/2 and -1

    2017-02-03 20:31:06 | 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

  8. 32-digit values of the first 100 recurrence coefficients for a Gaussian weight function with parameters 1/2 and 1

    2017-02-03 20:28:33 | 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

  9. 32-digit values of the first 100 recurrence coefficients for the upper subrange Hermite weight function on [c,Inf], c=√1/2

    2017-02-03 20:27:18 | Datasets | Contributor(s): Walter Gautschi | doi:10.4231/R7NP22FV

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

    https://purr.purdue.edu/publications/2376

  10. Stieltjes-Wigert orthogonal polynomials with parameters σ and m

    2017-02-03 20:13:55 | Datasets | Contributor(s): Walter Gautschi | doi:10.4231/R7SF2T6N

    Matlab routine for the first N recurrence coefficients of Stieltjes-Wigert orthogonal polynomials with parameters σ and m

    https://purr.purdue.edu/publications/2375

  11. Monic Hahn orthogonal polynomials with parameters N, a, and b

    2017-02-03 20:10:55 | Datasets | Contributor(s): Walter Gautschi | doi:10.4231/R7X63JXZ

    Matlab routine for the N+1 recurrence coefficients of monic Hahn orthogonal polynomials with parameters N, a, and b

    https://purr.purdue.edu/publications/2371

  12. Kravchuk orthogonal polynomials with parameters N and p

    2017-01-30 17:31:20 | Datasets | Contributor(s): Walter Gautschi | doi:10.4231/R71Z42CW

    Matlab routine for the N+1 recurrence coefficients of Kravchuk orthogonal polynomials with parameters N and p

    https://purr.purdue.edu/publications/2368

  13. Charlier orthogonal polynomials with parameter a

    2017-01-30 17:30:29 | Datasets | Contributor(s): Walter Gautschi | doi:10.4231/R75M63PW

    Matlab routine for the first N recurrence coefficients of Charlier orthogonal polynomials with parameter a

    https://purr.purdue.edu/publications/2369

  14. Meixner orthogonal polynomials with parameters b and c

    2017-01-30 15:49:39 | Datasets | Contributor(s): Walter Gautschi | doi:10.4231/R79C6VCS

    Matlab routine for the first N recurrence coefficients of Meixner orthogonal polynomials with parameters b and c

    https://purr.purdue.edu/publications/2370

  15. 32-digit values of the first 100 recurrence coefficients for a four-parameter exponential weight function with parameters 2, 1, 1, 0

    2017-01-30 17:30:03 | 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

  16. Logistic orthogonal polynomials

    2017-01-30 17:33:04 | Datasets | Contributor(s): Walter Gautschi | doi:10.4231/R7JW8BVZ

    Matlab routine for the first N recurrence coefficients of logistic orthogonal polynomials

    https://purr.purdue.edu/publications/2367

  17. 32-digit values of the first 100 recurrence coefficients, obtained by discretization, for a radiative transfer weight function with parameter c=2/3

    2017-01-13 14:07:19 | Datasets | Contributor(s): Walter Gautschi | doi:10.4231/R7CF9N35

    32-digit values of the first 100 recurrence coefficients for the weight function w(x)=exp(-1/x) on [0,c], c=2/3

    https://purr.purdue.edu/publications/2316

  18. 32-digit values of the first 100 recurrence coefficients for the Fermi-Dirac-type weight function with exponent r=3

    2017-01-13 14:06:29 | Datasets | Contributor(s): Walter Gautschi | doi:10.4231/R7VH5KT8

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

    https://purr.purdue.edu/publications/2319

  19. 32-digit values of the first 100 recurrence coefficients for the half-range bimodal weight function with parameter ε=.02

    2017-01-13 14:05:56 | Datasets | Contributor(s): Walter Gautschi | doi:10.4231/R7J38QH3

    32-digit values of the first 100 recurrence coefficients for the weight function w(x)=(x^2)*exp[-(x^2-1)^2/(4*ε)] on [0,Inf], ε=.02

    https://purr.purdue.edu/publications/2344

  20. 32-digit values of the first 100 recurrence coefficients for the midpoint weight function

    2017-01-20 14:01:08 | Datasets | Contributor(s): Walter Gautschi | doi:10.4231/R7Z31WN1

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

    https://purr.purdue.edu/publications/2362

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