creator: Walter Gautschi type: dataset

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...

Computer Science Equation Table Freud polynomials Freud weight function Gaussian quadrature Mathematics Matlab OPQ routine Orthogonal polynomials Walter Gautschi Archives

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 Equation Table Freud polynomials Freud weight function Gaussian quadrature Mathematical Concepts Mathematics OPQ routine Orthogonal polynomials Walter Gautschi Archives

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 Equation Table Freud polynomials Freud weight function Gaussian quadrature Mathematics Matlab OPQ routine Orthogonal polynomials Walter Gautschi Archives

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-...

Computational methods Computer Science Equation Table Gaussian quadrature Hermite weight function Hilbert Transforms Integral Transforms Mathematics Matlab Numerical integrations OPQ routine Orthogonal polynomials Walter Gautschi Archives

10.4231/R70Z715M

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 "G...

Computer Science Equation Table Gauss-Radau formula Jacobi polynomials Jacobi weight functions Mathematics Matlab OPQ routine Orthogonal polynomials Walter Gautschi Archives

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...

Computer Science Equation Table Gauss-Radau formula Jacobi polynomials Jacobi weight functions Mathematics Matlab OPQ routine Orthogonal polynomials Walter Gautschi Archives

10.4231/R7SF2T39

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...

Computer Science Equation Table Gauss-Radau formula Jacobi polynomials Jacobi weight functions Mathematics Matlab OPQ routine Orthogonal polynomials Walter Gautschi Archives

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/R7ZG6Q6T

12/30/2015

This dataset includes symbolic variable-precision versions of some of the more important OPQ routines.

Airy weight function Bose-Einstein distribution Chebyshev-type quadratures Classical weight functions Computer Science Fermi Dirac weight Function Freud weight function Gauss-type quadrature rules Hermite weight function Jacobi weight functions K-Bessel weight function Laguerre weight functions Mathematics Matlab OPQ routine Orthogonal polynomials Perl Script quadrature Software source code Walter Gautschi Archives Walter Gautschi Selected Works

10.4231/R7B8562S

04/23/2014

The use of Gaussian quadrature formulae is explored for the computation of the Macdonald function (modified Bessel function) of complex orders and positive arguments. It is shown that for arguments larger than one, Gaussian quadrature applied to the integr...

complex order Computer Science FORTRAN Gauss quadrature approximation Macdonald function Mathematics Matlab software modified Bessel function Quadrature and cubature formulas Software source code Walter Gautschi Archives

Display #

Results 1 - 10 of 286