# All fields DOI Author Subject

##### 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

##### 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)

##### 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)

##### 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)

##### 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)

##### 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

##### 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.

##### RMOP: Repeated modifications of orthogonal polynomials

10.4231/R7F18WNB

04/23/2014

Matlab routines and data sets that compute repeated modifications of orthogonal polynomials

##### 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)

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