Total is 216 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 the half-range bimodal weight function with parameter ε=1
10.4231/R73T9F6B
01/13/2017
32-digit values of the first 100 recurrence coefficients for the weight function w(x)=(x^2)*exp[-(x^2-1)^2/(4*ε)] on [0,Inf], ε=1
Computer Science Mathematics Modification algorithms for orthogonal polynomials Orthogonal polynomials Walter Gautschi Archives weight functions
32-digit values of the first 100 recurrence coefficients for the half-range bimodal weight function with parameter ε=.1
10.4231/R7DB7ZTT
01/13/2017
32-digit values of the first 100 recurrence coefficients for the weight function w(x)=(x^2)*exp[-(x^2-1)^2/(4*ε)] on [0,Inf], ε=.1
Computer Science Mathematics Modification algorithms for orthogonal polynomials Orthogonal polynomials Walter Gautschi Archives weight functions
32-digit values of the first 100 recurrence coefficients for the half-range bimodal weight function with parameter ε=.02
10.4231/R7J38QH3
01/13/2017
32-digit values of the first 100 recurrence coefficients for the weight function w(x)=(x^2)*exp[-(x^2-1)^2/(4*ε)] on [0,Inf], ε=.02
Computer Science Mathematics Modification algorithms for orthogonal polynomials Orthogonal polynomials Walter Gautschi Archives weight functions
32-digit values of the first 100 recurrence coefficients for the half-range bimodal weight function with parameter ε=.001
10.4231/R78K772F
01/13/2017
32-digit values of the first 100 recurrence coefficients for the weight function w(x)=(x^2)*exp[-(x^2-1)^2/(4*ε)] on [0,Inf], ε=.001
Computer Science Mathematics Modification algorithms for orthogonal polynomials Orthogonal polynomials Walter Gautschi Archives weight functions
32-digit values of the first 100 recurrence coefficients for the half-range bimodal weight function with parameter ε=.005
10.4231/R74T6GBQ
01/13/2017
32-digit values of the first 100 recurrence coefficients for the weight function w(x)=(x^2)*exp[-(x^2-1)^2/(4*ε)] on [0,Inf], ε=.005
Computer Science Mathematics Modification algorithms for orthogonal polynomials Orthogonal polynomials Walter Gautschi Archives weight functions
32-digit values of the first 100 recurrence coefficients for the Morse weight function
10.4231/R7G44N8B
01/13/2017
32-digit values of the first 100 recurrence coefficients for the weight function w(x)=exp[-5*x+6*(exp(-x)-1)] on [0,Inf]
Computer Science Mathematics Modification algorithms for orthogonal polynomials Orthogonal polynomials Walter Gautschi Archives weight functions
32-digit values of the first 100 recurrence coefficients for the upper subrange generalized Hermite weight function on [c,Inf], c = -1, with exponent 0
10.4231/R7V9862X
01/13/2017
32-digit values of the first 100 recurrence coefficients for the weight function w(x)=x^(2*μ)*exp(-x^2) on [c,Inf], c = -1, μ = 0
Computer Science Mathematics Modification algorithms for orthogonal polynomials Orthogonal polynomials Walter Gautschi Archives weight functions
32-digit values of the first 100 recurrence coefficients for the upper subrange generalized Hermite weight function on [c,Inf], c=-1, with exponent -1/2
10.4231/R7QN64Q2
01/13/2017
32-digit values of the first 100 recurrence coefficients for the weight function w(x)=x^(2*μ)*exp(-x^2) on [c,Inf], c = -1, μ = -1/4
Computer Science Mathematics Modification algorithms for orthogonal polynomials Orthogonal polynomials Subrange Hermite polynomials Walter Gautschi Archives weight functions
32-digit values of the first 100 recurrence coefficients for the upper subrange generalized Hermite weight function on [c,Inf], c = -1, with exponent 1/2
10.4231/R7KW5D16
01/13/2017
32-digit values of the first 100 recurrence coefficients for the weight function w(x)=x^(2*μ)*exp(-x^2) on [c,Inf], c = -1, μ = 1/4
Computer Science Mathematics Modification algorithms for orthogonal polynomials Orthogonal polynomials Subrange Hermite polynomials Walter Gautschi Archives weight functions
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