Tags: Orthogonal polynomials

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  1. 32-digit values of the first 63 recurrence coefficients for the weight function w(x)=x^3*exp(-x)*log(1+1/x) on [1,Inf]

    2017-04-20 12:02:29 | Datasets | Contributor(s): Walter Gautschi | doi:10.4231/R74Q7S09

    32-digit values of the first 63 recurrence coefficients for the weight function w(x)=x^a*exp(-x)*log(1+1/x) on [1,Inf], a=3

    https://purr.purdue.edu/publications/2463

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

    2017-04-12 13:19:54 | Datasets | Contributor(s): Walter Gautschi | doi:10.4231/R7639MQT

    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 = 0, b = 1

    https://purr.purdue.edu/publications/2268

  3. 32-digit values of the first 100 recurrence coefficients for a weight function having an algebraic/scaled-logarithmic singularity at 0 with exponent a=1/2 and power b=2

    2017-03-30 13:10:11 | Datasets | Contributor(s): Walter Gautschi | doi:10.4231/R7251G6V

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

    https://purr.purdue.edu/publications/2445

  4. 32-digit values of the first 100 recurrence coefficients for a weight function having an algebraic/scaled-logarithmic singularity at 0 with exponent a = -1/2 and power b=3

    2017-03-30 13:08:09 | Datasets | Contributor(s): Walter Gautschi | doi:10.4231/R75X26Z9

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

    https://purr.purdue.edu/publications/2447

  5. 32-digit values of the first 100 recurrence coefficients for a weight function having an algebraic/scaled-logarithmic singularity at 0 with exponent a =1/2 and power b=3

    2017-03-30 13:06:06 | Datasets | Contributor(s): Walter Gautschi | doi:10.4231/R79P2ZN6

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

    https://purr.purdue.edu/publications/2446

  6. OPQ: A Matlab suite of programs for generating orthogonal polynomials and related quadrature rules

    2017-03-29 14:16:04 | Datasets | Contributor(s): Walter Gautschi | doi:10.4231/R7959FHP

    This is a set of Matlab codes and data files for generating orthogonal polynomials and related quadrature rules.

    https://purr.purdue.edu/publications/1582

  7. 32-digit values of the first 100 recurrence coefficients for the weight function having an algebraic/scaled-logarithmic singularity at 0 with exponent a=1/2 and power b=1

    2017-03-17 18:14:32 | Datasets | Contributor(s): Walter Gautschi | doi:10.4231/R7RV0KQJ

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

    https://purr.purdue.edu/publications/2443

  8. 32-digit values of the first 100 recurrence coefficients for a weight function having an algebraic/scaled-logarithmic singularity at 0 with exponent a=-1/2 and power b=2

    2017-03-17 18:13:12 | Datasets | Contributor(s): Walter Gautschi | doi:10.4231/R7WM1BDT

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

    https://purr.purdue.edu/publications/2442

  9. 32-digit values of the first 100 recurrence coefficients for the weight function having an algebraic/scaled-logarithmic singularity at 0 with exponent a=-1/2 and power b=1

    2017-03-17 16:30:19 | Datasets | Contributor(s): Walter Gautschi | doi:10.4231/R7P26W4C

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

    https://purr.purdue.edu/publications/2441

  10. 32-digit values of the first 100 recurrence coefficients for a logarithmic weight function with rational argument

    2017-03-17 14:57:54 | Datasets | Contributor(s): Walter Gautschi | doi:10.4231/R7ST7MTX

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

    https://purr.purdue.edu/publications/2436

  11. 32-digit values of the first 100 recurrence coefficients for a logarithmic weight function with rational square-root argument

    2017-03-17 14:52:01 | 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

  12. 32-digit values of the first 100 recurrence coefficients for the exponential integral weight function E_1 on [0,Inf]

    2017-03-17 13:55:39 | Datasets | Contributor(s): Walter Gautschi | doi:10.4231/R7DR2SF2

    32-digit values of the first 100 recurrence coefficients for the weight function w(x)=E_nu(x) on (0,Inf], nu=1

    https://purr.purdue.edu/publications/2241

  13. 32-digit values of the first 100 recurrence coefficients for a weight function with a logarithmic type singularity

    2017-03-10 15:43:04 | Datasets | Contributor(s): Walter Gautschi | doi:10.4231/R7BR8Q6R

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

    https://purr.purdue.edu/publications/2438

  14. Associated Legendre polynomials

    2017-03-10 15:39:50 | Datasets | Contributor(s): Walter Gautschi | doi:10.4231/R7GH9FZH

    Matlab routines for the first N recurrence coefficients of associated Legendre polynomials

    https://purr.purdue.edu/publications/2437

  15. 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

  16. 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

  17. 32-digit values of the first 100 recurrence coefficients for a generalized Jacobi weight function with Jacobi parameters 3/2, -1/2 and exponent 1

    2017-03-01 14:52:36 | Datasets | Contributor(s): Walter Gautschi | doi:10.4231/R7HM56FQ

    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=1

    https://purr.purdue.edu/publications/2426

  18. 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

  19. 32-digit values of the first 100 recurrence coefficients, obtained from moments, for a radiative transfer weight function with parameter c=16/3

    2017-02-27 13:43:47 | Datasets | Contributor(s): Walter Gautschi | doi:10.4231/R7PC30CQ

    32-digit values of the first 100 recurrence coefficients for the weight function w(x)=exp(-1/x) on [0,c], c=16/3

    https://purr.purdue.edu/publications/2421

  20. 32-digit values of the first 100 recurrence coefficients, obtained from moments, for a radiative transfer weight function with parameter c=8/3

    2017-02-27 13:42:33 | Datasets | Contributor(s): Walter Gautschi | doi:10.4231/R7T43R2M

    32-digit values of the first 100 recurrence coefficients for the weight function w(x)=exp(-1/x) on [0,c], c=8/3

    https://purr.purdue.edu/publications/2420

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