subject: Mathematics date: 2017
10.4231/R7959FHP
03/29/2017
This is a set of Matlab codes and data files for generating orthogonal polynomials and related quadrature rules.
Computer Science Gauss-type quadrature rules Mathematics Matlab Modification algorithms for orthogonal polynomials Orthogonal polynomials Software source code Variable-precision arithmetic Walter Gautschi Archives
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
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
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
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
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
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
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
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