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Subfields that are algebraically closed in the field of all meromorphic functions

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References

  1. O. Blumenthal, Principes de la théorie des fonctions entières d'ordre infini, Paris, Gauthier-Villars, 1910.

    MATH  Google Scholar 

  2. A. Edrei and W. H. J. Fuchs, Bounds for the number of deficient values of certain classes of meromorphic functions,Proc. London Math. Soc., Third series, Vol. XII (1962), p. 315–344.

    MathSciNet  Google Scholar 

  3. Leon Ehrenpreis, Solution of some problems of division. I.Amer. J. Math. 76 (1954), p. 883–903, II.Amer. J. Math. 77 (1955), p. 282–292, III.Amer. J. Math. 78 (1956), p. 685–715,

    Article  MATH  MathSciNet  Google Scholar 

  4. B. Malgrange, Existence et approximation des solutions des équations aux dérivées partielles et des équations de convolution.Annales Institut Fourier Grenoble 6 (1955–56), p. 271–354.

    MathSciNet  Google Scholar 

  5. R. Nevanlinna, Le théorème de Picard-Borel et la théorie des fonctions méromorphes, Paris, Gauthier-Villars, 1930.

    Google Scholar 

  6. J. F. Ritt, Algebraic combinations of exponentials,Trans. Amer. Math. Soc., Vol. 31 (1929), p. 654–679.

    Article  MathSciNet  Google Scholar 

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The work of the first author was supported by NSF grant 19701 and that of the second author, in part, by NSF grant G-19022.

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Hellerstein, S., Rubel, L.A. Subfields that are algebraically closed in the field of all meromorphic functions. J. Anal. Math. 12, 105–111 (1964). https://doi.org/10.1007/BF02807430

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