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Dual theorems for functions defined in the unit disc

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Part of the Lecture Notes in Mathematics book series (LNM,volume 419)

Keywords

  • Unit Disc
  • Dual Theorem
  • Maximality Theorem
  • Colloquial Term
  • Ambiguous Point

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References

  1. Bagemihl, F.: Meier points of holomorphic functions.-Math. Ann. 155, 1964, pp.422–424.

    CrossRef  MathSciNet  MATH  Google Scholar 

  2. Collingwood, E. F.: On sets of maximum indetermination of analytic functions.-Math. Z. 67, 1957, pp.377–396.

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  3. -"-: Addendum: On sets of maximum indetermination of analytic functions.-Math. Z. 68, 1957/1958, pp.498–499.

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  4. -"-: Cluster sets of arbitrary functions.-Proc. Nat. Acad. Sci. U.S.A. 46, 1960, pp.1236–1242.

    CrossRef  MathSciNet  MATH  Google Scholar 

  5. -"-Cluster set theorems for arbitrary functions with applications to function theory.-In: Colloquium on mathematical analysis / Kolloquium über mathematische Analysis, Helsinki 1962. Ann. Acad. Sci. Fenn. A.I.336/8, 1963.

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  6. Collingwood, E. F., and A. J. Lohwater: The theory of cluster sets.-Cambridge Tracts in Mathematics and Mathematical Physics 56. The University Press, Cambridge, 1966.

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  7. Meier, K.: Über die Randwerte der meromorphen Funktionen.-Math. Ann. 142, 1961, pp. 328–344.

    CrossRef  MathSciNet  MATH  Google Scholar 

  8. Plessner, A.: Über das Verhalten analytischer Funktionen am Rande ihres Definitionsbereichs.-J. Reine Angew. Math. 158, 1927, pp.219–227.

    MathSciNet  MATH  Google Scholar 

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© 1974 Springer-Verlag

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Collingwood, E.F. (1974). Dual theorems for functions defined in the unit disc. In: Lehto, O., Louhivaara, I.S., Nevanlinna, R. (eds) Topics in Analysis. Lecture Notes in Mathematics, vol 419. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0064713

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  • DOI: https://doi.org/10.1007/BFb0064713

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-06965-2

  • Online ISBN: 978-3-540-37907-2

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