Applications of the Tumura-Clunie theorem
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- by Chung-chun Yang PDF
- Trans. Amer. Math. Soc. 151 (1970), 659-662 Request permission
Abstract:
Some applications of the Tumura-Clunie theorem are given. Most of these concerned fixed points of compositions of entire functions.References
- J. Clunie, On integral and meromorphic functions, J. London Math. Soc. 37 (1962), 17–27. MR 143906, DOI 10.1112/jlms/s1-37.1.17
- W. K. Hayman, Meromorphic functions, Oxford Mathematical Monographs, Clarendon Press, Oxford, 1964. MR 0164038
- P. C. Rosenbloom, The fix-points of entire functions, Comm. Sém. Math. Univ. Lund [Medd. Lunds Univ. Mat. Sem.] 1952 (1952), no. Tome Supplémentaire, 186–192. MR 51916
- S. Hellerstein and L. A. Rubel, Subfields that are algebraically closed in the field of all meromorphic functions, J. Analyse Math. 12 (1964), 105–111. MR 166359, DOI 10.1007/BF02807430 Y. Tumura, On the extension of Borel’s theorem and Saxer-Csillag’s theorem, Proc. Phys. Math. Soc. Japan (3) 19 (1937), 29-35.
Additional Information
- © Copyright 1970 American Mathematical Society
- 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