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Equidistribution of the arguments of the zeros of padé numerators

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Part of the Lecture Notes in Mathematics book series (LNM,volume 599)

Keywords

  • Compact Subset
  • Meromorphic Function
  • London Math
  • Analytic Character
  • Essential Singularity

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References

  1. G. A. Baker, Jr., Essentials of Padé Approximants, Academic Press, New York, 1975.

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  2. A. Edrei, The Padé table of functions having a finite number of essential singularities, Pacific J. Math. 56 (1975), 429–453.

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  3. O. Perron, Die Lehre von den Kettenbrüchen, 3rd. ed., vol. 2, B. G. Teubner, Stuttgart, 1957.

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  4. P. C. Rosenbloom, Sequences of polynomials, especially sections of power series, Thesis, Stanford, 1943.

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  5. S. Saks and A. Zygmund, Analytic Functions, Monografie Matematyczne, Warsaw, 1952.

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  6. E. C. Titchmarsh, The theory of Functions, 2nd. ed., Oxford University Press, Oxford, 1952.

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  7. R. Wilson, Divergent continued fractions and polar singularities, Proc. London Math. Soc. 26 (1927), 159–168.

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  8. R. Wilson, Divergent continued fractions and polar singularities, Part II, Proc. London Math. Soc. 27 (1928), 497–512.

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  9. R. Wilson, Divergent continued fractions and polar singularities, Part III, Proc. London Math. Soc. 28 (1928), 128–144.

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  10. R. Wilson, Divergent continued fractions and non-polar singularities, Proc. London Math. Soc. 30 (1930), 38–57.

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© 1977 Springer-Verlag

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Edrei, A. (1977). Equidistribution of the arguments of the zeros of padé numerators. In: Buckholtz, J.D., Suffridge, T.J. (eds) Complex Analysis. Lecture Notes in Mathematics, vol 599. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0096822

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  • DOI: https://doi.org/10.1007/BFb0096822

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-08343-6

  • Online ISBN: 978-3-540-37303-2

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