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Orthogonal polynomials for general measures-II

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Polynômes Orthogonaux et Applications

Part of the book series: Lecture Notes in Mathematics ((LNM,volume 1171))

Abstract

We have written a survey article [4] on orthogonal polynomials for general measures, and a paper on new results in exterior asymptotics [5]. This paper contains the statement and proof of a new result on norm asymptotics, and can be read independently of the other papers.

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References

  1. Ancona, Alano, Demonstration d'une conjecture sur la capacité et l'effilement. C.R. Acad. Sci. Paris, t.297 (24 Octobre 1983) Serie I, 393–395.

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  2. Ancona, Alano, Sur une conjecture concernant la capacite et l'effilement, Colloque de Theorie du Potentiel (Jacques DENY) 1984 (Springer L.N., to appear).

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  3. Tsuji, M., Potential Theory in Modern Function Theory, Maruzen, Tokyo, 1959.

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  4. Ullman, J.L., A survey of exterior asymptotics for orthogonal polynomials associated with a finite interval and a study of the case of a general weight measure, Proceedings of the N.A.T.O. Advanced Study Institute, 1983, (1–18).

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  5. Ullman, J.L., Orthogonal polynomials for general measures, I, Proceedings of 1983 Tampa Conference on Rational Approximation and Interpolation, Springer-Verlag, 1984, LN1105 524–528.

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

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© 1985 Springer-Verlag

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Ullman, J.L. (1985). Orthogonal polynomials for general measures-II. 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/BFb0076550

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  • DOI: https://doi.org/10.1007/BFb0076550

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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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