subject: Computer Science creator: Walter Gautschi type: dataset

10.4231/R71Z4290

04/22/2014

The first 100 recurrence coefficients for orthogonal polynomials relative to the Theodorus weight function w(x)=x^(1/2)/(e^x-1) on R_+} are obtained from the first 200 moments mu_k=Gamma(k+3/2) * zeta(k+3/2), k=0,1,2,...,199, by using Chebyshev's algo...

Computer Science Mathematics Modification algorithms for orthogonal polynomials Orthogonal polynomials Walter Gautschi Archives weight functions

10.4231/R7QN64N5

03/21/2014

The first 40 recursion coefficients for the Airy weight function are obtained to 28 decimal digits by a discretization procedure described in Sec. 4.2 of Walter Gautschi, "Computation of Bessel and Airy functions and of related Gaussian quadrature formula...

Computer Science Mathematics Modification algorithms for orthogonal polynomials Orthogonal polynomials Walter Gautschi Archives weight functions

10.4231/R7JW8BS2

04/22/2014

The first 40 recursion coefficients for the Bessel weight function are obtained to 28 decimal digits by a discretization procedure described in Sec. 4.1 of Walter Gautschi, "Computation of Bessel and Airy functions and of related Gaussian quadrature formul...

Computer Science Mathematics Modification algorithms for orthogonal polynomials Orthogonal polynomials Walter Gautschi Archives weight functions

10.4231/R7PN93HS

04/22/2014

The first 100 recurrence coefficients for the Freud weight function w(x)=exp(-x^4}) on R are obtained to 32 decimal digits from the first 200 moments by using Chebyshev's algorithm in sufficiently high precision; cf. Sec. 3 of "Variable-precision recu...

10.4231/R7Z60KZ0

04/22/2014

The first 100 recurrence coefficients for the Freud weight function w(x)=exp(-x^6}) on R are obtained to 32 decimal digits from the first 200 moments by using Chebyshev's algorithm in sufficiently high precision; cf. Sec. 3 of "Variable-precision recu...

Computer Science Mathematics Modification algorithms for orthogonal polynomials moment-based method Orthogonal polynomials Walter Gautschi Archives weight functions

10.4231/R7TD9V74

04/22/2014

The first 100 recurrence coefficients for the Freud weight function w(x)=exp(-x^8}) on R are obtained to 32 decimal digits from the first 200 moments by using Chebyshev's algorithm in sufficiently high precision; cf. Sec. 3 of "Variable-precision recu...

Computer Science Mathematics Modification algorithms for orthogonal polynomials moment-based method Orthogonal polynomials Walter Gautschi Archives weight functions

10.4231/R7X63JTM

04/22/2014

The first 100 recurrence coefficients for the half-range Hermite weight function w(x)=exp(-x^2) on R_+} are obtained to 32 decimal digits from the first 200 moments by using Chebyshev's algorithm in sufficiently high precision; cf. Sec.3 of "Variable-...

Computer Science Mathematics Modification algorithms for orthogonal polynomials moment-based method Orthogonal polynomials Walter Gautschi Archives weight functions

10.4231/R79G5JRN

04/22/2014

The first 100 recurrence coefficients for the weight function w(x)=x^-1/2}(1-x)^1/2}log(1/x) on (0,1) are obtained to 32 decimal digits from the first 200 modified moments by using Chebyshev's algorithm in sufficiently high precision; cf. Sec.3 of "Ga...

10.4231/R74Q7RWJ

04/22/2014

The first 100 recurrence coefficients for the weight function w(x)=x^1/2}(1-x)^1/2}log(1/x) on (0,1) are obtained to 32 decimal digits from the first 200 modified moments by using Chebyshev's algorithm in sufficiently high precision; cf. Sec.3 of "Gau...

10.4231/R7Z31WJP

04/23/2014

The real-valued Lambert W-functions considered here are w_0(y) and w_-1}(y), solutions of we^w = y, -1/e < y < 0, with values respectively in (-1/e < y <0) and (-infinity, -1).

Binet-like weight functions Computer Science Mathematics Modification algorithms for orthogonal polynomials Orthogonal polynomials Walter Gautschi Archives weight functions

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