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On conjectured inequalities for zeros of Jacobi polynomials

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Abstract

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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References

  1. Gautschi, W.: On a conjectured inequality for the largest zero of Jacobi polynomials. Numer. Algorithms (2008). doi:10.1007/s11075-008-9207-6

  2. Gautschi, W., Leopardi, P.: Conjectured inequalities for Jacobi polynomials and their largest zeros. Numer. Algorithms 45(1–4), 217–230 (2007)

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  1. Department of Computer Sciences, Purdue University, West Lafayette, 47907-2066, IN, USA

    Walter Gautschi

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  1. Walter Gautschi
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Correspondence to Walter Gautschi.

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Gautschi, W. On conjectured inequalities for zeros of Jacobi polynomials. Numer Algor 50, 93–96 (2009). https://doi.org/10.1007/s11075-008-9217-4

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  • DOI: https://doi.org/10.1007/s11075-008-9217-4

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