Scripts for the Ismail-Letessier-Askey (ILA) monotonicity conjecture for zeros of ultraspherical polynomials

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By Walter Gautschi

Purdue University

Dataset contains matlab scripts for a paper dealing with the ILA monotonicity property for zeros of ultraspherical polynomials.

Version 1.0 - published on 04 Oct 2016 doi:10.4231/R78G8HNQ - cite this Archived on 05 Nov 2016

Licensed under Attribution 3.0 Unported


A number of conjectured monotonicity properties for zeros of ultraspherical polynomials are reviewed, leading up to the ILA conjecture of the title, which has been proved in 1999 by Elbert and Siafarikas. It is shown that two of the earlier conjectures are consequences of the ILA conjecture. Computational support is provided for strengthening several of these conjectures, including the ILA conjecture, from monotonicity to complete monotonicity.

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Dataset contains 10 matlab files and 5 eps files.

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