subject: Mathematics creator: Walter Gautschi, 0000-0001-9184-8899
Total is 286 Results
32-digit values of the first 65 recurrence coefficients for orthogonal polynomials relative to a weight function on [0,1] containing an algebraic singularity with exponent 1/2 and exponential/logarithmic factors
10.4231/R7JS9NFN
05/09/2017
32-digit values of the first 65 recurrence coefficients for the weight function w(x)=x^(1/2)*exp(-x)*log(1+1/x) on [0,1]
Computer Science Mathematics Modification algorithms for orthogonal polynomials Orthogonal polynomials Walter Gautschi Archives weight functions
32-digit values of the first 65 recurrence coefficients for the weight function w(x)=x^(-1/2)*exp(-x)*log(1+1/x) on [1,Inf]
10.4231/R7ZW1HX0
05/09/2017
32-digit values of the first 65 recurrence coefficients for the weight function w(x)=x^a*exp(-x)*log(1+1/x) on [1,Inf], a=-1/2
Computer Science Mathematics Modification algorithms for orthogonal polynomials Orthogonal polynomials Walter Gautschi Archives weight functions
32-digit values of the first 65 recurrence coefficients for the weight function w(x)=x^(1/2)*exp(-x)*log(1+1/x) on [1,Inf]
10.4231/R7PG1PR6
05/09/2017
32-digit values of the first 65 recurrence coefficients for the weight function w(x)=x^a*exp(-x)*log(1+1/x) on [1,Inf], a=1/2
Computer Science Mathematics Modification algorithms for orthogonal polynomials Orthogonal polynomials Walter Gautschi Archives weight functions
32-digit values of the first 64 recurrence coefficients for the Krylov-Pal'tsev weight function on [0,Inf] with exponent 1
10.4231/R72J68W1
05/10/2017
32-digit values of the first 64 recurrence coefficients for the weight function w(x)=x^a*exp(-x)*log(1+1/x) on [0,Inf], a=1
Computer Science Krylov-Pal'tsev weight function Mathematics Modification algorithms for orthogonal polynomials Orthogonal polynomials Walter Gautschi Archives weight functions
OPCBSPL: Orthogonal polynomials relative to cardinal B-spline weight functions
10.4231/R7NG4NKC
10/28/2016
A stable and efficient discretization procedure is developed to compute recurrence coefficients for orthogonal polynomials whose weight function is a polynomial cardinal B-spline of order greater than, or equal to, one.
B-spline Computer Science Mathematics Modification algorithms for orthogonal polynomials Orthogonal polynomials polynomials Walter Gautschi Archives weight functions
32-digit values of the first 100 recurrence coefficients for an Airy weight function
10.4231/R7V122R6
10/19/2016
32-digit values of the first 100 recurrence coefficients for the (normalized) weight function w(x)=c*x^(-5/6)e^(-x)Ai((3x/2)^(2/3)) on [0,Inf], c=2^(-1/6)*3^(1/6)/pi^(1/2), where Ai is the Airy function
Airy weight function Computer Science Mathematics Modification algorithms for orthogonal polynomials Orthogonal polynomials Quadrature and cubature formulas Walter Gautschi Archives
Scripts for a discrete top-down Markov problem in approximation theory
10.4231/R74Q7RX0
10/04/2016
Matlab scripts for a discrete top-down Markov problem in approximation theory
approximation theory Computer Science Mathematics polynomials Walter Gautschi Archives
SOPQ: Symbolic OPQ
10.4231/R7MW2F3P
02/20/2020
This includes symbolic 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
INERFC: Evaluation of the Repeated Integrals of the Coerror Function by Half-Range Gauss-Hermite Quadrature
10.4231/R7RN35T0
10/05/2016
INERFC: Evaluation of the Repeated Integrals of the Coerror Function by Half-Range Gauss-Hermite Quadrature
Coerror Function Computer Science Mathematics Mathematics Education Matlab Quadrature and cubature formulas Walter Gautschi Archives
Scripts for the Ismail-Letessier-Askey (ILA) monotonicity conjecture for zeros of ultraspherical polynomials
10.4231/R78G8HNQ
10/04/2016
Dataset contains matlab scripts for a paper dealing with the ILA monotonicity property for zeros of ultraspherical polynomials.
Computer Science Mathematics Matlab monotonicity polynomials ultraspherical polynomials Walter Gautschi Archives
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