Advertisement

Boundary value theorems for meromorphic functions defined in the open unit disk

  • Michael Behrens
Conference paper
Part of the Lecture Notes in Mathematics book series (LNM, volume 369)

Keywords

Meromorphic Function Conformal Mapping Riemann Sphere Open Unit Disk Standard Part 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. 1.
    E. R. Collingwood and A. J. Lohwater, The Theory of Cluster Sets, (Cambridge University Press, Cambridge, 1966).CrossRefzbMATHGoogle Scholar
  2. 2.
    J. L. Doob, "The Boundary Values of Analytic Functions," Trans. Amer. Math. Soc., 34 (1932), 153–170.MathSciNetCrossRefzbMATHGoogle Scholar
  3. 3.
    _____, "The Boundary Values of Analytic Functions," Trans. Amer. Math. Soc., 35, (1933), 418–451.MathSciNetCrossRefzbMATHGoogle Scholar
  4. 4.
    _____, "One-sided Cluster Value Theorems," Proc. London Math. Soc. (3) 13 (1963), 461–470.MathSciNetCrossRefzbMATHGoogle Scholar
  5. 5.
    W. Gross, "Zum Verhalten der Konformen Abbildung am Rande," Math. Z. 3 (1919), 43–64.MathSciNetCrossRefzbMATHGoogle Scholar
  6. 6.
    F. Riesz and M. Riesz, "Über die Randwerte einer Analytischen Funktion," 4. Cong. Scand. Math. Stockholm, (1916), 27–44.Google Scholar
  7. 7.
    A. Robinson, "Complex Function Theory over Non-archimedean Fields," Technical-scientific note, No.30, U.S.A.F. contract No. 61 (052)-187, Jerusalem.Google Scholar
  8. 8.
    _____, "On the theory of normal families," Acta Philosophica Fennica, fasc. 18 (Rolf Nevanlinna anniversary volume), 159–184.Google Scholar
  9. 9.
    _____, Nonstandard Analysis. North-Holland, Amsterdam, 1966.Google Scholar

Copyright information

© Springer-Verlag 1974

Authors and Affiliations

  • Michael Behrens
    • 1
  1. 1.Laguna Beach

Personalised recommendations