subject: Mathematics subject: Orthogonal polynomials subject: Jacobi polynomials
Total is 9 Results
Gauss quadrature and Christoffel function for Jacobi weight functions
10.4231/17YY-MC20
06/12/2020
A set of MATLAB scripts related to Gauss quadrature and the Christoffel function for Jacobi weight functions
Computer Science Jacobi polynomials Jacobi weight functions Mathematics Modification algorithms for orthogonal polynomials Orthogonal polynomials Walter Gautschi Archives weight functions
32-digit values of the first 100 recurrence coefficients relative to the weight function w(x)=x^{-1/2}(1-x)^{-1/2}log(1/x) on (0,1) computed by the SOPQ routine sr_jacobilog1(100,-1/2,-1/2,32)
10.4231/R70Z715M
04/22/2014
32-digit values of the first 100 recurrence coefficients relative to the weight function w(x)=x^-1/2}(1-x)^-1/2}log(1/x) on (0,1) computed by the SOPQ routine sr_jacobilog1(100,-1/2,-1/2,32)
Computer Science Equation Table Gauss-Radau formula Jacobi polynomials Jacobi weight functions Mathematics Matlab OPQ routine Orthogonal polynomials Walter Gautschi Archives
32-digit values of the first 100 recurrence coefficients relative to the weight function w(x)=x^{-1/2}(1-x)^{1/2}log(1/x) on (0,1) computed by the SOPQ routine sr_jacobilog1(100,-1/2,1/2,32)
10.4231/R79G5JRN
04/22/2014
32-digit values of the first 100 recurrence coefficients for orthogonal polynomials relative to the weight function w(x)=x^-1/2}(1-x)^1/2}log(1/x) on (0,1) computed by the SOPQ routine sr_jacobilog1(100,-1/2,1/2,32)
Computer Science Equation Table Gauss-Radau formula Jacobi polynomials Jacobi weight functions Mathematics Matlab OPQ routine Orthogonal polynomials Walter Gautschi Archives
32-digit values of the first 100 recurrence coefficients relative to the weight function w(x)=x^{1/2}(1-x)^{-1/2}log(1/x) on (0,1) computed by the SOPQ routine sr_jacobilog1(100,1/2,-1/2,32)
10.4231/R7SF2T39
04/22/2014
32-digit values of the first 100 recurrence coefficients for orthogonal polynomials relative to the weight function w(x)=x^1/2}(1-x)^-1/2}log(1/x) on (0,1) computed by the SOPQ routine sr_jacobilog1(100,1/2,-1/2,32)
Computer Science Equation Table Gauss-Radau formula Jacobi polynomials Jacobi weight functions Mathematics Matlab OPQ routine Orthogonal polynomials Walter Gautschi Archives
32-digit values of the first 100 recurrence coefficients relative to the weight function w(x)=x^{1/2}(1-x)^{1/2}log(1/x) on (0,1) computed by the SOPQ routine sr_jacobilog1(100,1/2,1/2,32)
10.4231/R74Q7RWJ
04/22/2014
32-digit values of the first 100 recurrence coefficients for orthogonal polynomials relative to the weight function w(x)=x^1/2}(1-x)^1/2}log(1/x) on (0,1) computed by the SOPQ routine sr_jacobilog1(100,1/2,1/2,32)
Computer Science Equation Table Gauss-Radau formula Jacobi polynomials Jacobi weight functions Mathematics Matlab OPQ routine Orthogonal polynomials Walter Gautschi Archives
BIJ: Matlab programs for testing and extending Bernstein's Inequality for Jacobi polynomials
10.4231/R7V985Z5
04/23/2014
Bernstein’s inequality for Jacobi polynomials is analyzed here analytically and computationally with regard to validity and sharpness
Bernstein’s inequality Computer Science Erdelyi–Magnus–Nevai conjecture Jacobi polynomials Mathematics Matlab Orthogonal polynomials Sharpness Software source code Walter Gautschi Archives
CIZJP: Matlab programs for conjectured inequalities for zeros of Jacobi polynomials
10.4231/R7KS6PH4
04/23/2014
Inequalities for the largest zero of Jacobi polynomials are here extended to all zeros of Jacobi polynomials, and new relevant conjectures are formulated.
Computer Science Gauss quadrature approximation Inequalities Jacobi polynomials Mathematics Matlab Orthogonal polynomials Walter Gautschi Archives zeros
RMOP: Repeated modifications of orthogonal polynomials
10.4231/R7F18WNB
04/23/2014
Matlab routines and data sets that compute repeated modifications of orthogonal polynomials
Computer Science Gaussian quadrature Gaussian quadrature of functions having poles Jacobi polynomials Logarithmic weight functions Mathematics Matlab Modification algorithms for orthogonal polynomials Numerical integrations Orthogonal polynomials Software source code Walter Gautschi Archives
32-digit values of the first 100 recurrence coefficients for an algebraically/logarithmically singular weight function on (0,1)
10.4231/R7862DD9
10/12/2016
32-digit values of the first 100 recurrence coefficients for orthogonal polynomials relative to the weight function w(x)=(1-x)^-1/2}x^1/2}log(1/x) on (0,1)
Computer Science Equation Table Gauss-Radau formula Jacobi polynomials Jacobi weight functions Mathematics Matlab OPQ routine Orthogonal polynomials Walter Gautschi Archives
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