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CIZJP: Matlab programs for conjectured inequalities for zeros of Jacobi polynomials

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By Walter Gautschi

Purdue University

Inequalities for the largest zero of Jacobi polynomials are here extended to all zeros of Jacobi polynomials, and new relevant conjectures are formulated.

Version 1.0 - published on 23 Apr 2014 doi:10.4231/R7KS6PH4 - cite this Archived on 25 Oct 2016

Licensed under CC0 1.0 Universal

Description

Inequalities for the largest zero of Jacobi polynomials, conjectured recently by us and in joint work with P. Leopardi, are here extended to all zeros of Jacobi polynomials, and new relevant conjectures are formulated based on extensive computation.

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This dataset contains 5 Matlab codes:

  • testconj.m
  • jacconj.m
  • ineq.m
  • uspconj.m
  • uspineq.m

This serves as a companion piece to the paper "On conjectured inequalities for zeros of Jacobi polynomials", Numerical Algorithms 50 (2009), 93-96, doi:10.1007/s11075-008-9217-4.

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