subject: Walter Gautschi Archives
Total is 287 Results
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
Stieltjes-Wigert orthogonal polynomials with parameters σ and m
10.4231/R7SF2T6N
02/03/2017
Matlab routine for the first N recurrence coefficients of Stieltjes-Wigert orthogonal polynomials with parameters σ and m
Computer Science Mathematics Modification algorithms for orthogonal polynomials Orthogonal polynomials Stieltjes-Wigert orthogonal polynomials Variable-precision computation Walter Gautschi Archives weight functions
32-digit values of the first 100 recurrence coefficients for the upper subrange Hermite weight function on [c,Inf], c=√1/2
10.4231/R7NP22FV
02/03/2017
32-digit values of the first 100 recurrence coefficients for the weight function w(x)=exp(-x^2) on [c,Inf], c=√1/2
Computer Science Hermite weight function Mathematics Modification algorithms for orthogonal polynomials moment-based method Orthogonal polynomials Walter Gautschi Archives weight functions
Squared Abel polynomials
10.4231/R74Q7RZF
02/14/2017
Matlab routine for the first N recurrence coefficients of squared Abel polynomials
Abel polynomials Computer Science Mathematics Orthogonal polynomials Subrange Hermite polynomials Variable-precision computation Walter Gautschi Archives weight functions
Modified squared Abel polynomials
10.4231/R78C9T8V
02/14/2017
Matlab routine for the first N recurrence coefficients of modified squared Abel polynomials
Abel polynomials Computer Science Mathematics Modification algorithms for orthogonal polynomials Orthogonal polynomials Variable-precision computation Walter Gautschi Archives weight functions
32-digit values of the first 100 recurrence coefficients for a four-parameter exponential weight function with parameters 1, 1/2, 1/2, -3/2
10.4231/R7W66HSK
02/14/2017
32-digit values of the first 100 recurrence coefficients for the weight function (inverse Gaussian distribution) w(x)=const*x^d*exp(-b/x^a-c*x^a) on [0,Inf], const=exp(1)/√(2*π), a=1, b=c=1/2, d=-3/2
Computer Science Mathematics Modification algorithms for orthogonal polynomials moment-based method Orthogonal polynomials Walter Gautschi Archives weight functions
32-digit values of the first 100 recurrence coefficients for a four-parameter exponential weight function with parameters a=1/3, b=c=1/2, d=-7/6
10.4231/R7RF5S1T
02/14/2017
32-digit values of the first 100 recurrence coefficients for the weight function w(x)=const*x^d*exp(-b/x^a-c*x^a), const=exp(1)/(3*√(2*pi)), a=1/3, b=c=1/2, d=-7/6
Computer Science Mathematics Modification algorithms for orthogonal polynomials moment-based method Orthogonal polynomials Walter Gautschi Archives weight functions
The first 100 recurrence coefficients for a Pollaczek-type weight function with parameters in the interval [1/10,10]
10.4231/R73R0QV2
02/27/2017
The first 100 recurrence coefficients for the weight function w(x)=exp(-(1-x^2)^(-a)) on [-1,1], a=1/10, 1/2, 1, 2, . . . , 10
Computer Science Mathematics Walter Gautschi Archives weight functions
32-digit values of the first 100 recurrence coefficients for a Pollaczek-type weight function with parameter 1/2
10.4231/R72R3PP7
02/27/2017
32-digit values of the first 100 recurrence coefficients for the weight function w(x)=exp(-(1-x^2)^(-a)) on [-1,1], a=1/2
Computer Science Mathematics Modification algorithms for orthogonal polynomials Orthogonal polynomials Pollaczek weigh function Walter Gautschi Archives weight functions
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