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Transactions of the American Mathematical Society

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Applications of the Tumura-Clunie theorem


Author: Chung-chun Yang
Journal: Trans. Amer. Math. Soc. 151 (1970), 659-662
MSC: Primary 30.61
DOI: https://doi.org/10.1090/S0002-9947-1970-0268382-7
MathSciNet review: 0268382
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Abstract: Some applications of the Tumura-Clunie theorem are given. Most of these concerned fixed points of compositions of entire functions.


References [Enhancements On Off] (What's this?)

  • [1] J. Clunie, On integral and meromorphic functions, J. London Math. Soc. 37 (1962), 17-27. MR 26 #1456. MR 0143906 (26:1456)
  • [2] W. K. Hayman, Meromorphic functions, Oxford Mathematical Monographs, Clarendon Press, Oxford, 1964, pp. 68-73. MR 29 #1337. MR 0164038 (29:1337)
  • [3] P. C. Rosenbloom, The fix-points of entire functions, Comm. Sém. Math. Univ. Lund 1952, Tome Supplémentaire, 186-192. MR 14, 546. MR 0051916 (14:546h)
  • [4] A. L. Rubel and S. Hellerstein, Subfields that are algebraically closed in the fields of all meromorphic functions, Technical Report No. 3, Appl. Math. and Statist. Labs., Stanford Univ., Calif., 1963. MR 0166359 (29:3636)
  • [5] Y. Tumura, On the extension of Borel's theorem and Saxer-Csillag's theorem, Proc. Phys. Math. Soc. Japan (3) 19 (1937), 29-35.

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Additional Information

DOI: https://doi.org/10.1090/S0002-9947-1970-0268382-7
Keywords: Differential polynomial, fixed points
Article copyright: © Copyright 1970 American Mathematical Society

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