subject: Modification algorithms for orthogonal polynomials subject: weight functions creator: Walter Gautschi, 0000-0001-9184-8899
Total is 210 Results
32-digit values of the first 100 recurrence coefficients for the weight function w(x)=[(1-x^2/2)*(1-x^2)]^(-1/2) on [-1,1]
10.4231/R7HH6H1D
11/22/2016
32-digit values of the first 100 recurrence coefficients for the weight function w(x)=((1-om2*x^2)*(1-x^2))^(-1/2) on [-1,1], om2=1/2
Chebyshev weight function Computer Science 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
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
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
32-digit values of the first 100 recurrence coefficients for a Pollaczek-type weight function with parameter 10
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
32-digit values of the first 100 recurrence coefficients for a Pollaczek-type weight function with parameter 1/10
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
32-digit values of the first 100 recurrence coefficients for the symmetric Laguerre weight function
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
32-digit values of the first 100 recurrence coefficients for a half-range hyperexponential weight function
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
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