subject: Orthogonal polynomials subject: Walter Gautschi Archives
Total is 277 Results
32-digit values of the first 100 recurrence coefficients for the Bose-Einstein-type weight function with exponent 2
10.4231/R7GQ6VQ8
11/30/2016
32-digit values of the first 100 recurrence coefficients for the weight function w(x)=[x/(exp(x)-1)]^r on [0,Inf], r=2
Bose-Einstein distribution Computer Science Equation Table Gaussian quadrature Mathematics Matlab OPQ routine Orthogonal polynomials Walter Gautschi Archives
32-digit values of the first 100 recurrence coefficients for the Bose-Einstein-type weight function with exponent 3
10.4231/R7BZ640B
11/29/2016
32-digit values of the first 100 recurrence coefficients for the weight function w(x)=[x/(exp(x)-1)]^r on [0,Inf], r=3
Bose-Einstein distribution Computer Science Equation Table Gaussian quadrature Mathematics Matlab OPQ routine Orthogonal polynomials Walter Gautschi Archives
32-digit values of the first 100 recurrence coefficients for the Bose-Einstein-type weight function with exponent 4
10.4231/R7765C8X
11/29/2016
32-digit values of the first 100 recurrence coefficients for the weight function w(x)=[x/(exp(x)-1)]^r on [0,Inf], r=4
Bose-Einstein distribution Computer Science Equation Table Gaussian quadrature Mathematics Matlab OPQ routine Orthogonal polynomials Walter Gautschi Archives
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
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