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
10.4231/R7610X8M
Jonas Hepp , Mireille Boutin , Yellamraju Tarun
02/03/2016
This code computed a sequence of bounds for the error rate of a pattern recognition method. The bounds correspond to the error rate that one would expect to achieve by simply selecting features at random and thresholding the feature (TARP) approach.
classification Computer Science Electrical and Computer Engineering feature evaluation image processing image recognition Pattern Recognition Pedestrian Classification
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
10.4231/R76H4FFD
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=10
Computer Science Mathematics Modification algorithms for orthogonal polynomials Orthogonal polynomials Pollaczek weigh function Walter Gautschi Archives weight functions
10.4231/R7Z03656
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=1/10
Computer Science Mathematics Modification algorithms for orthogonal polynomials Orthogonal polynomials Pollaczek weigh function Walter Gautschi Archives weight functions
10.4231/R7QF8QVK
02/14/2017
32-digit values of the first 100 recurrence coefficients for the weight function w(x)=exp(-|x|) on [-Inf,Inf]
Computer Science Laguerre weight functions Mathematics Modification algorithms for orthogonal polynomials Orthogonal polynomials Walter Gautschi Archives weight functions
10.4231/R7JQ0Z1W
02/27/2017
32-digit values of the first 100 recurrence coefficients for the weight function w(x)=exp(-exp(x)) on [0,Inf]
Computer Science Mathematics Modification algorithms for orthogonal polynomials Orthogonal polynomials Walter Gautschi Archives weight functions
10.4231/R7KP804N
02/14/2017
32-digit values of the first 100 recurrence coefficients for the weight function w(x)=exp(-exp(|x|)) on [-Inf,Inf]
Computer Science Mathematics Modification algorithms for orthogonal polynomials Orthogonal polynomials Walter Gautschi Archives weight functions
10.4231/R7HT2M9T
02/27/2017
32-digit values of the first 100 recurrence coefficients for the weight function w(x)=|x|^μ*exp(-|x|^ν) on [-Inf,Inf], μ=0, ν=3
Computer Science Freud weight function Mathematics Modification algorithms for orthogonal polynomials Orthogonal polynomials Walter Gautschi Archives weight functions
10.4231/R7D21VMV
02/27/2017
32-digit values of the first 100 recurrence coefficients for the weight function w(x)=x^μ*exp(-x^ν) on [0,Inf], μ=0, ν=3
Computer Science Freud weight function Mathematics Modification algorithms for orthogonal polynomials Orthogonal polynomials Walter Gautschi Archives weight functions
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