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Complex Analysis and Algebraic Geometry pp 214–235Cite as

Value distribution theory for moving targets

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Part of the book series: Lecture Notes in Mathematics ((2766,volume 1194))

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References

  1. L. Ahlfors, The theory of meromorphic curves, Acta Soc. Sci. Fenn, Nova Ser. A 3(4)(1941), 171–183.

    MathSciNet  MATH  Google Scholar 

  2. E. Borel, Sur les zéros des fonctions entières., Acta Math., 20(1897), 357–396.

    Article  MathSciNet  Google Scholar 

  3. H. Cartan, Sur les zéros des combinaisons linéaires de p fonctions holomorphes données, Mathematica (Cluj), 7(1933), 80,133.

    MathSciNet  MATH  Google Scholar 

  4. E. F. Collingwood, Sur quelques théorèmes de M. Nevanlinna, CR Acad Sci., Paris, 179(1924), 955–957.

    MATH  Google Scholar 

  5. C. T. Chuang, Uné generalisation d'une inégalité de Nevanlinna, Scientia Sinica,13(1964), 887–895.

    MathSciNet  MATH  Google Scholar 

  6. J. Dufresnoy, Sur les valeurs exceptionelles des fonctions meromorphes voisines d'une fonction meromorphe donnée, CR Acad. Sci, Paris, 208(1939), 255–257.

    MATH  Google Scholar 

  7. H. Kneser, Zur Theorie der gebrochenen Funktionen mehrerer Veränderlichen, Jber. Deutsch. Math. Verein, 48(1938), 1–28.

    MATH  Google Scholar 

  8. S. Mori, Remarks on holomorphic mappings, Contempory Math., 25(1983), 101–114.

    Article  MathSciNet  MATH  Google Scholar 

  9. R. Nevanlinna, Zur Theorie der meromorphen Funktionen. Acta Math., 16(1925), 1–99.

    Article  MathSciNet  MATH  Google Scholar 

  10. R. Nevanlinna, Le Théorème de Picard-Borel et la Théorie des Fonctions Méromorphes, Gauthiers-Villars, Paris, (1929), reprint Chelsea-Publ. Co., New York, (1974), pp 171.

    MATH  Google Scholar 

  11. C. F. Osgood, Sometimes effective Thue-Siegel-Roth-Schmidt-Nevanlinna bounds, or better, to appear in Journal of Number Theory.

    Google Scholar 

  12. C. F. Osgood, A fully general Nevanlinna N-small function theorem and a sometimes effective Thue-Siegel-Roth-Schmidt theorem for solutions to linear differential equations, Contemp. Math., 25(1983), 129–130.

    Article  MATH  Google Scholar 

  13. B. Shiffman, New defect relations for meromorphic functions on ℂm, Bull. Amer. Math. Soc. (New Series), 7(1982), 599–601.

    Article  MathSciNet  MATH  Google Scholar 

  14. B. Shiffman, A general second main theorem for meromorphic functions on ℂ, Amer. J. Math., 106(1984), 509–531.

    Article  MathSciNet  MATH  Google Scholar 

  15. W. Stoll, Ganze Funktionen endlicher Ordnung mit gegebenen Nullstellenflächen, Math. Zeitschrift, 57(1953), 211–237.

    Article  MathSciNet  MATH  Google Scholar 

  16. W. Stoll, Die beiden Hauptsätze der Wertverteilungstheorie bei Funktionen mehrerer komplexen Veränderlichen, I Acta Math., 90(1953), 1–115; II Acta Math., 92(1954), 55–169.

    Article  MathSciNet  MATH  Google Scholar 

  17. W. Stoll, Value distribution theory for meromorphic maps, Aspect of Math. E, 7(1985), pp 347 Springer-Verlag.

    MathSciNet  MATH  Google Scholar 

  18. A. Vitter, The lemma of the logarithmic derivative in several complex variables, Duke Math. J., 44(1977), 89–104.

    Article  MathSciNet  MATH  Google Scholar 

  19. H. Weyl and J. Weyl, Meromorphic curves, Ann. of Math., 39(1938), 516–538.

    Article  MathSciNet  MATH  Google Scholar 

  20. H. Weyl and J. Weyl, Meromorphic functions and analytic curves, Annals of Mathematics Studies, 12(1943), pp 269 Princeton University Press.

    MathSciNet  MATH  Google Scholar 

  21. H. Wu, The equidistribution theory of holomorphic curves, Annals of Mathematics Studies, 64(1970), pp 219 Princeton University Press.

    MathSciNet  Google Scholar 

  22. L. Yang, Deficient functions of meromorphic functions, Scientia Sinica, 24(1981), 1179–1189.

    MathSciNet  MATH  Google Scholar 

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Authors
  1. Wilhelm Stoll
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Hans Grauert

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© 1986 Springer-Verlag

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Stoll, W. (1986). Value distribution theory for moving targets. In: Grauert, H. (eds) Complex Analysis and Algebraic Geometry. Lecture Notes in Mathematics, vol 1194. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0077005

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  • DOI: https://doi.org/10.1007/BFb0077005

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-16490-6

  • Online ISBN: 978-3-540-39829-5

  • eBook Packages: Springer Book Archive

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