Bhoosnurmath, Subhas S.; Shilpa, N.; Barki, Mahesh Results on entire and meromorphic functions that share small function with their homogeneous and linear differential polynomials. (English) Zbl 1435.30091 Tbil. Math. J. 12, No. 4, 227-236 (2019). Summary: Using the results of S. S. Bhoosnurmath, we mainly study the uniqueness of entire and meromorphic functions that share small functions with their homogeneous and linear differential polynomials. In this paper, we obtain significant improvements and generalizations of the results of H. X. Yi. MSC: 30D20 Entire functions of one complex variable (general theory) 30D30 Meromorphic functions of one complex variable (general theory) 30D35 Value distribution of meromorphic functions of one complex variable, Nevanlinna theory Keywords:entire functions; meromorphic functions; differential polynomials; small functions PDF BibTeX XML Cite \textit{S. S. Bhoosnurmath} et al., Tbil. Math. J. 12, No. 4, 227--236 (2019; Zbl 1435.30091) Full Text: DOI Euclid OpenURL References: [1] S. S. Bhoosnurmath and Smita R. K., On entire and meromorphic functions that share one small function with their differential polynomial, Int. J. Anal. (2013), Article Id 926340. · Zbl 1291.30191 [2] W. K. Hayman, Meromorphic Functions, The Clarendon Press, Oxford (1964). · Zbl 0115.06203 [3] C. C. Yang and H. X. Yi, Uniqueness theory of meromorphic functions, Kluwer, Dordrect, 2004. [4] H. X. Yi, Uniqueness theorems for meromorphic functions whose nth derivatives share the same 1-points, Complex Var. Theory Appl., 34(1997), 421-436. · Zbl 0908.30032 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.