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The purpose of this paper is to obtain some sufficient conditions todetermine the relation between a meromorphic function and an L-function whencertain differential polynomial generated by them sharing a one degreepolynomial. The main theorem of the paper extends and improves all the resultsin {W. J. Hao and J. F. Chen, Uniqueness of L-functions concerning certaindifferential polynomials, Discrete Dyn. Nat. Soc., 2018, DOI.10.1155/2018/4673165}, {F. Liu, X. M. Li and H. X. Yi, Value distribution ofL-functions concerning shared values and certain differential polynomials,Proc. Japan. Acad. Ser. A, 93 (2017), 41-46} and {P. Sahoo and S. Haldar,Uniqueness results related to L-functions and certain differential polynomials,Tbilisi Math. J., 11(4) (2018), 67-78}.

Uniqueness of certain differential polynomial of L-functions and meromorphic functions sharing a polynomial