subject: Computer Science subject: Mathematics subject: Jacobi polynomials type: dataset

10.4231/17YY-MC20

Walter Gautschi, 0000-0001-9184-8899

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

10.4231/R70Z715M

Walter Gautschi, 0000-0001-9184-8899

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

10.4231/R79G5JRN

Walter Gautschi, 0000-0001-9184-8899

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

10.4231/R7SF2T39

Walter Gautschi, 0000-0001-9184-8899

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

10.4231/R74Q7RWJ

Walter Gautschi, 0000-0001-9184-8899

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)

10.4231/R7V985Z5

Walter Gautschi, 0000-0001-9184-8899

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

10.4231/R7KS6PH4

Walter Gautschi, 0000-0001-9184-8899

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

10.4231/R7F18WNB

Walter Gautschi, 0000-0001-9184-8899

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

10.4231/R7862DD9

Walter Gautschi, 0000-0001-9184-8899

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)

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