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Smoothness conditions for Stieltjes measures from Pade approximants

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Rational Approximation and its Applications in Mathematics and Physics

Part of the book series: Lecture Notes in Mathematics ((LNM,volume 1237))

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References

  1. P. Nevai, Orthogonal Polynomials, Mem. Amer. Math. Soc. 213 (1979), Providence, Rhode Island.

    Google Scholar 

  2. J.S. Geronimo, W. Van Assche, Orthogonal polynomials with asymptotically periodic recurrence coefficients, J. Approx. Theory 46 (1986)

    Google Scholar 

  3. G. Szegö, Orthogonal polynomials, Amer. Math. Soc. Colloq. Publ. 23, 4th edition (1975), Providence, Rhode Island.

    Google Scholar 

  4. J. Stoer, S. Burlisch, Einfuhrüng in die Numerische Mathematik, Springer, Berlin (1973).

    Book  Google Scholar 

  5. D. Bessis, M.L. Mehta, P. Moussa, Orthogonal polynomials on a family of Cantor sets and the problem of iterations of quadratic mappings, Letters Math. Phys. 6 (1982), 123–140.

    Article  MathSciNet  MATH  Google Scholar 

  6. C.N. Yang, T.D. Lee, Statistical theory of equations of state and phase transitions I, theory of condensation, Phys. Rev. 87 (1952), 404–409.

    Article  MathSciNet  MATH  Google Scholar 

  7. T.D. Lee, C.N. Yang, Statistical theory of equations of state and phase transitions II, lattice gas and Ising model, Phys. Rev. 87 (1952), 410–419.

    Article  MathSciNet  MATH  Google Scholar 

  8. M. Barnsley, D. Bessis, P. Moussa, The diophantine moment problem and the analytic structure in the activity plane of the ferromagnetic Ising model, J. Math. Phys. 20 (1979), 535–546.

    Article  MathSciNet  MATH  Google Scholar 

  9. D. Bessis, J.M. Drouffe, P. Moussa, Positivity constraints for the Ising ferromagnetic model, J. Phys. A 9 (1976), 2105–2124.

    Article  Google Scholar 

  10. P.J. Kortman, R.B. Griffiths, Density of zeros on the Lee-Yang Circle for two Ising ferromagnets, Phys. Rev. Letters 27 (1971), 1439–1442.

    Article  Google Scholar 

  11. D.A. Kurtze, M.E. Fisher, Yang-Lee edge singularities at high temperature, Phys. Rev. B 20 (1979), 2785–2796.

    Article  Google Scholar 

  12. R. Jullien, K. Uzelac, P. Pfeuty, P. Moussa, The Yang-Lee edge singularity studied by a four-level quantum renormalization-group blocking method, J. Physique 42 (1981), 1075–1080.

    Article  MathSciNet  Google Scholar 

  13. J.A. Baker Jr., L.P. Benofi, I.G. Enting, Yang-Lee edge for the two dimensional Ising model, Los Alamos preprint (1985).

    Google Scholar 

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Author information

Authors and Affiliations

  1. Georgia Institute of Technology, Atlanta, Georgia, USA

    D. Bessis

  2. Dipartimento di Fisica, Università di Bologna, Istituto Nazionale di Fisica Nucleare, Sezione di, Bologna, Italy

    G. Turchetti

  3. University of Leuven, Belgium

    W. Van Assche

Authors
  1. D. Bessis
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  2. G. Turchetti
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  3. W. Van Assche
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Editor information

Jacek Gilewicz Maciej Pindor Wojciech Siemaszko

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© 1987 Springer-Verlag

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Bessis, D., Turchetti, G., Van Assche, W. (1987). Smoothness conditions for Stieltjes measures from Pade approximants. In: Gilewicz, J., Pindor, M., Siemaszko, W. (eds) Rational Approximation and its Applications in Mathematics and Physics. Lecture Notes in Mathematics, vol 1237. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0072470

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  • DOI: https://doi.org/10.1007/BFb0072470

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-17212-3

  • Online ISBN: 978-3-540-47412-8

  • eBook Packages: Springer Book Archive

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