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


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


sharing values
Full Text: DOI


[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)
This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. It attempts to reflect the references listed in the original paper as accurately as possible without claiming the completeness or perfect precision of the matching.