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Simultaneous pade approximation and orthogonality

II. Conferenciers Ou Contributeurs

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

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References

  1. W.A. Al-Salam and T.S. Chihara: On Reimer recurrences, Portugaliae Mathematica 38 (1979), 45–58.

    MathSciNet  MATH  Google Scholar 

  2. C. Brezinski: Padé type approximation and general orthogonal polynomials, ISNM Vol. 50, Birkhäuser Verlag, Basel (1980).

    CrossRef  MATH  Google Scholar 

  3. M.G. de Bruin: Generalized C-fractions and a multidimensional Padé table, Thesis, Amsterdam (1974).

    Google Scholar 

  4. M.G. de Bruin: Generalized Padé tables and some algorithms therein, Proc. 1st French-Polish meeting on Padé approximation and convergence acceleration techniques, Warsaw 1981, J. Gilewicz ed., CPT-81/PE.1354, Centre de Physique Théorique, Marseille (1982).

    Google Scholar 

  5. M.G. de Bruin: Some convergence results in simultaneous rational approximation to the set of hypergeometric functions {1F1(1;ci;z)}i=1 n, in Padé approximation and its applications, Bad Honnef 1983, H. Werner & H.J. Bünger eds., LNM 1071, 12–33, Springer Verlag, Berlin/Heidelberg/New York/Tokyo (1984).

    CrossRef  Google Scholar 

  6. J. Mall: Grundlagen für eine Theorie der mehrdimensionalen Padéschen Tafel, Inaugural Dissertation, München (1934).

    Google Scholar 

  7. H. Padé: Sur la généralisation des fractions continues algébriques, Journal de Math. 4ième série, 10 (1894), 291–329.

    Google Scholar 

  8. H. van Rossum: Padé approximants and indefinite inner product spaces, in Padé and Rational Approximation, E.B. Saff & R.S. Varga eds., 111–119, Academic Press, New York (1977).

    CrossRef  Google Scholar 

  9. R. Smith: An abundance of orthogonal polynomials, IMA Journal of Appl. Math. 28 (1982), 161–167.

    CrossRef  MathSciNet  MATH  Google Scholar 

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© 1985 Springer-Verlag

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de Bruin, M.G. (1985). Simultaneous pade approximation and orthogonality. 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/BFb0076532

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  • DOI: https://doi.org/10.1007/BFb0076532

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