Qi, Jianming; Qiao, Lei Uniqueness of meromorphic functions and their differential polynomials. (English) Zbl 1318.30048 Vietnam J. Math. 43, No. 1, 121-130 (2015). Summary: This paper studies uniqueness problem of two meromorphic functions whose differential polynomials share a small function. The results extend and improve a theorem given in [S. Wang and Z. Gao, Abstr. Appl. Anal. 2007, Article ID 60718, 6 p. (2007; Zbl 1152.30030)]. MSC: 30D35 Value distribution of meromorphic functions of one complex variable, Nevanlinna theory Keywords:meromorphic functions; differential polynomials; sharing a small function; uniqueness problem Citations:Zbl 1152.30030 PDFBibTeX XMLCite \textit{J. Qi} and \textit{L. Qiao}, Vietnam J. Math. 43, No. 1, 121--130 (2015; Zbl 1318.30048) Full Text: DOI References: [1] Fang, C.-Y., Fang, L.-M.: Uniqueness of meromorphic functions and differential polynomials. Comput. Math. Appl. 44, 607-617 (2002) · Zbl 1035.30018 · doi:10.1016/S0898-1221(02)00175-X [2] Fang, M.L., Guo, H.: On unique range sets for meromorphic or entire functions. Acta. Math. Sin. 14, 569-576 (1998) · Zbl 0924.30038 · doi:10.1007/BF02580416 [3] Fang, M.L., Qiu, H.L.: Meromorphic functions that share fixed-points. J. Math. Anal. Appl. 268, 426-439 (2002) · Zbl 1030.30028 · doi:10.1006/jmaa.2000.7270 [4] Hayman, W.K.: Meromorphic Functions. Clarendon Press, Oxford (1964) · Zbl 0115.06203 [5] Wang, S.M., Gao, Z.S.: Meromorphic functions sharing a small function. Abstr. Appl. Anal. Art. 2007, 60718 (2007) · Zbl 1152.30030 [6] Yang, C.C.: On deficiencies of differential polynomials, π. Math. Z. 125, 107-112 (1972) · Zbl 0217.38402 · doi:10.1007/BF01110921 [7] Yang, C.C., Hua, X.: Uniqueness and value-sharing of meromorphic functions. Ann. Acad. Sci. Fenn. Math. 22, 395-406 (1997) · Zbl 0890.30019 [8] Yang, C.C., Yi, H.X.: Uniqueness Theory of Meromorphic Functions. Science Press/Kluwer, Beijing (2003) · Zbl 1070.30011 · doi:10.1007/978-94-017-3626-8 [9] Yang, L.: Value distribution theory and new research. Science Press, Beijing (1982) · Zbl 0633.30029 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. In some cases that data have been complemented/enhanced by data from zbMATH Open. This attempts to reflect the references listed in the original paper as accurately as possible without claiming completeness or a perfect matching.