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Entire functions that share finite values with their derivatives. (English) Zbl 0691.30022

The author proves two theorems on entire functions which share two values with one of their derivatives. Theorem 1 is trivial, while Theorem 2 is well known even in the case of meromorphic functions (G.Frank and W. Ohlenroth, Complex Variables, Theory Appl. 6, 23-37 (1986; Zbl 0584.30028); G. Frank and G. Weißenborn, ibid. 7, 33-43 (1986; Zbl 0603.30038)).
Reviewer: G.Frank

MSC:

30D35 Value distribution of meromorphic functions of one complex variable, Nevanlinna theory

Keywords:

sharing values
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References:

[1] Rubel, Complez Analysis: Lecture Notes in Mathematics pp 101– (1977)
[2] DOI: 10.1007/BF01303627 · Zbl 0416.30028
[3] DOI: 10.1007/BF01301627 · Zbl 0312.30032
[4] Gundersen, Pacific J. Math. 105 pp 299– (1983) · Zbl 0497.30025
[5] DOI: 10.1016/0022-247X(80)90092-X · Zbl 0447.30018
[6] Hayman, Meromorphic Functions (1964)
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