Al-Khaladi, Amer H. H. On meromorphic functions that share one small function with their \(k\)th derivative. (English) Zbl 1198.30032 Result. Math. 57, No. 3-4, 313-318 (2010). In this paper, the author studies the problem on meromorphic functions sharing a small function with their derivative. The proof heavily leans on the techniques of Nevanlinna theory. The result also improves some earlier results. Reviewer: Subhas S. Bhoosnurmath (Dharwad) Cited in 5 Documents MSC: 30D35 Value distribution of meromorphic functions of one complex variable, Nevanlinna theory Keywords:meromorphic function; Nevanlinna theory; Sharing a small function PDF BibTeX XML Cite \textit{A. H. H. Al-Khaladi}, Result. Math. 57, No. 3--4, 313--318 (2010; Zbl 1198.30032) Full Text: DOI OpenURL References: [1] Al-Khaladi A.H.H.: On entire functions which share one small function CM with their kth derivative. Result. Math. 47, 1–5 (2005) · Zbl 1074.30027 [2] Brück R.: On entire functions which share one value CM with their first derivative. Result. Math. 30, 21–24 (1996) · Zbl 0861.30032 [3] Hayman W.K.: Meromorphic Functions. Clarendon Press, Oxford (1964) · Zbl 0115.06203 [4] Zhang Q.C.: The uniqueness of meromorphic functions with their derivatives. Kodai Math. J. 21, 179–184 (1998) · Zbl 0932.30027 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.