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Polynômes Orthogonaux et Applications pp 259–266Cite as

On the sharpness of results in the theory of location of zeros of polynomials defined by three term recurrence relations

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References

  1. J. GILEWICZ and E. LEOPOLD, Location of the Zeros of Polynomials Satisfying Three-Term Recurrence Relations. I. General Case with Complex Coefficients, to appear in J. Approx. Theory 42 (1984)

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  2. E. LEOPOLD, Location of the Zeros of Polynomials Satisfying Three-Term Recurrence Relations. III. Positive Coefficients Case, to appear in J. Approx. Theory 42 (1984).

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  3. J. GILEWICZ, Sur l'amélioration des théorèmes de localisation des zéros de polynômes; Congrès d'Analyse Numérique 1984, Bombannes (France).

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  4. J. GILEWICZ and E. LEOPOLD, Fine Optimization of the Zero-Free Region for the Polynomials Satisfying Three-Term Recurrence Relations, submitted to J. Approx. Theory.

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  5. M.G. de BRUIN, E.B. SAFF, and R.S. VARGA, On the Zeros of Generalized Bessel Polynomials, Nederl. Akad. Wetensch. Indag. Math. 84 (1981), 1–25.

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  6. H.-J. RUNCKEL, Zero-Free Parabolic Regions for Polynomials with Complex Coefficients, Proceedings of the American Mathematical Society, 88 (1983), 299.

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  7. E.A. VAN DOORN, On Orthogonal Polynomials with Positive Zeros and the Associated Kernel Polynomials, to appear in J. Math. Anal. Appl.

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Author information

Authors and Affiliations

  1. Centre de Physique Théorique, C.N.R.S. Luminy, Case 907, F-13288, Marseille Cédex 9, France

    J. Gilewicz

  2. Toulon University, France

    J. Gilewicz

  3. 16, Avenue du Dr. Roux, F-78340, Les Clayes Sous Bois, France

    E. Leopold

Authors
  1. J. Gilewicz
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  2. E. Leopold
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Editor information

Claude Brezinski André Draux Alphonse P. Magnus Pascal Maroni André Ronveaux

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© 1985 Springer-Verlag

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Gilewicz, J., Leopold, E. (1985). On the sharpness of results in the theory of location of zeros of polynomials defined by three term recurrence relations. In: Brezinski, C., Draux, A., Magnus, A.P., Maroni, P., Ronveaux, A. (eds) Polynômes Orthogonaux et Applications. Lecture Notes in Mathematics, vol 1171. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0076552

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  • DOI: https://doi.org/10.1007/BFb0076552

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-16059-5

  • Online ISBN: 978-3-540-39743-4

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