Datasets: All

  1. Generalized Hermite polynomials

    2016-12-15 13:56:08 | Datasets | Contributor(s): Walter Gautschi | doi:10.4231/R79K4878

    Matlab routine for the first N recurrence coefficients of generalized Hermite polynomials

    https://purr.purdue.edu/publications/2333

  2. Generalized Laguerre polynomials

    2016-12-15 20:03:31 | Datasets | Contributor(s): Walter Gautschi | doi:10.4231/R7K07280

    Matlab routines for the first N recurrence coefficients of generalized Laguerre polynomials

    https://purr.purdue.edu/publications/2332

  3. Jacobi polynomials

    2016-12-15 20:02:25 | Datasets | Contributor(s): Walter Gautschi | doi:10.4231/R7PR7SZ5

    Matlab routines for the first N recurrence coefficients of Jacobi polynomials

    https://purr.purdue.edu/publications/2331

  4. 32-digit values of the first 100 recurrence coefficients for the bimodal weight function with parameter ε=.001

    2017-01-03 15:19:36 | Datasets | Contributor(s): Walter Gautschi | doi:10.4231/R7TH8JPW

    32-digit values of the first 100 recurrence coefficients for the weight function w(x)=exp[-(x^2-1)^2/(4*ε)] on [-Inf,Inf], ε=.001

    https://purr.purdue.edu/publications/2330

  5. 32-digit values of the first 100 recurrence coefficients for the bimodal weight function with parameter ε=.005

    2017-01-03 15:18:51 | Datasets | Contributor(s): Walter Gautschi | doi:10.4231/R7Z899DM

    32-digit values of the first 100 recurrence coefficients for the weight function w(x)=exp[-(x^2-1)^2/(4*ε)] on [-Inf,Inf], ε=.005

    https://purr.purdue.edu/publications/2329

  6. 32-digit values of the first 100 recurrence coefficients for the bimodal weight function with parameter ε=.02

    2017-01-03 15:19:10 | Datasets | Contributor(s): Walter Gautschi | doi:10.4231/R7319SWH

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

    https://purr.purdue.edu/publications/2328

  7. 32-digit values of the first 100 recurrence coefficients for the bimodal weight function with parameter ε=.1

    2017-01-03 15:17:56 | Datasets | Contributor(s): Walter Gautschi | doi:10.4231/R76T0JNX

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

    https://purr.purdue.edu/publications/2327

  8. 32-digit values of the first 100 recurrence coefficients for the bimodal weight function with parameter ε=1

    2017-01-03 15:20:03 | Datasets | Contributor(s): Walter Gautschi | doi:10.4231/R7BK19B6

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

    https://purr.purdue.edu/publications/2326

  9. 32-digit values of the first 100 recurrence coefficients, obtained from modified moments, for the Laguerre weight function multiplied by a logarithmically singular function

    2016-12-12 16:06:52 | Datasets | Contributor(s): Walter Gautschi | doi:10.4231/R7M043CX

    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=0

    https://purr.purdue.edu/publications/2301

  10. 32-digit values of the first 100 recurrence coefficients for the Schroedinger weight function with exponent mu=5

    2016-12-09 15:55:18 | Datasets | Contributor(s): Walter Gautschi | doi:10.4231/R7QR4V3Z

    32-digit values of the first 100 recurrence coefficients for the weight function w(x)=x^mu*exp(-x^4/16) on [0,Inf], mu=5

    https://purr.purdue.edu/publications/2322

  11. 32-digit values of the first 100 recurrence coefficients for the Fermi-Dirac-type weight function with exponent r=4

    2016-12-09 14:47:33 | Datasets | Contributor(s): Walter Gautschi | doi:10.4231/R708639Z

    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=4

    https://purr.purdue.edu/publications/2320

  12. 32-digit values of the first 100 recurrence coefficients for the half-range Freud weight function with exponents mu=0, nu=4

    2016-12-09 14:38:17 | Datasets | Contributor(s): Walter Gautschi | doi:10.4231/R7416V2R

    32-digit values of the first 100 recurrence coefficients for the weight function w(x)=x^mu*exp(-x^nu) on [0,Inf], mu=0, nu=4

    https://purr.purdue.edu/publications/2321

  13. 32-digit values of the first 100 recurrence coefficients for the Fermi-Dirac-type weight function with exponent r=2

    2016-12-09 14:37:41 | Datasets | Contributor(s): Walter Gautschi | doi:10.4231/R77S7KR9

    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=2

    https://purr.purdue.edu/publications/2318

  14. 32-digit values of the first 100 recurrence coefficients for the weight function having an algebraic/logarithmic singularity with exponent a=1/2 and power b=3

    2016-12-08 13:52:47 | Datasets | Contributor(s): Walter Gautschi | doi:10.4231/R7H70CSK

    32-digit values of the first 100 recurrence coefficients for the weight function w(x)=x^a*[log(1/x)]^b on [0,1], a=1/2, b=3

    https://purr.purdue.edu/publications/2314

  15. 32-digit values of the first 100 recurrence coefficients, obtained from moments, for a radiative transfer weight function with parameter c=2/3

    2016-12-08 13:26:23 | Datasets | Contributor(s): Walter Gautschi | doi:10.4231/R7N014H9

    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/2315

  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 18:05:47 | 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

  17. 32-digit values of the first 100 recurrence coefficients for a square-root-logarithmic weight function

    2016-12-06 19:17:53 | Datasets | Contributor(s): Walter Gautschi | doi:10.4231/R7NZ85NT

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

    https://purr.purdue.edu/publications/2306

  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 18:01:58 | 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

  19. 32-digit values of the first 100 recurrence coefficients for the second-order cardinal B-spline weight function obtained from moments

    2016-12-05 18:01:23 | Datasets | Contributor(s): Walter Gautschi | doi:10.4231/R7XG9P4B

    32-digit values of the first 100 recurrence coefficients for orthogonal polynomials relative to the weight function w(x)=phi_m(x) on [0,m], m=2

    https://purr.purdue.edu/publications/2303

  20. 32-digit values of the first 100 recurrence coefficients for the weight function w(x)=[(1-.999*x^2)*(1-x^2)]^(-1/2) on [-1,1]

    2016-11-23 19:40:22 | Datasets | Contributor(s): Walter Gautschi | doi:10.4231/R7N877RQ

    32-digit values of the first 100 recurrence coefficients for the weight function w(x)=((1-om2*x^2)*(1-x^2))^(-1/2) on [-1,1], om2=.999

    https://purr.purdue.edu/publications/2247

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