Chang, Jianming; Fang, Mingliang Entire functions that share a small function with their derivatives. (English) Zbl 1069.30049 Complex Variables, Theory Appl. 49, No. 12, 871-895 (2004). The paper deals with the uniqueness problem of an entire function that shares a small function with its derivatives. The authors prove two main results, one of which may be stated as follows: Let \(f\) be a nonconstant entire function and \(a = a(z) (\not\equiv 0)\) be a small function related to \(f\). If \(f\), \(f^{(k)}\) and \(f^{(1+k)}\) share \(a\) CM then \(f \equiv f'\), where \(k\) is a positive integer.Though the statements of the theorems are simple, the proofs are much involved and sophisticated. Reviewer: Indrajit Lahiri (Kalyani) Cited in 1 ReviewCited in 15 Documents MSC: 30D35 Value distribution of meromorphic functions of one complex variable, Nevanlinna theory Keywords:entire functions; meromorphic functions; unicity; small functions PDFBibTeX XMLCite \textit{J. Chang} and \textit{M. Fang}, Complex Variables, Theory Appl. 49, No. 12, 871--895 (2004; Zbl 1069.30049) Full Text: DOI