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Uniqueness of certain non-linear differential polynomials sharing 1-points. (English) Zbl 1218.30073
Summary: Using the notion of weighted sharing of values, we study the uniqueness of meromorphic functions when certain non-linear differential polynomials share the same $$1$$-points. Though the main concern of the paper is to improve a result of M.-L. Fang [Comput. Math. Appl. 44, No. 5–6, 823–831 (2002; Zbl 1035.30017)], as a consequence of the main result we improve and supplement some former results of I. Lahiri and A. Sarkar [A.Chin. J. Contemp. Math. 25, No. 3, 325–334 (2004; Zbl 1069.30051)], C.-Y. Fang, M.-L. Fang [Comput. Math. Appl. 44, No. 5-6, 607–617 (2002; Zbl 1035.30018)] and others.

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