  The purpose of this paper is to obtain some sufficient conditions to
determine the relation between a meromorphic function and an L-function when
certain differential polynomial generated by them sharing a one degree
polynomial. The main theorem of the paper extends and improves all the results
in {W. J. Hao and J. F. Chen, Uniqueness of L-functions concerning certain
differential polynomials, Discrete Dyn. Nat. Soc., 2018, DOI.
10.1155/2018/4673165}, {F. Liu, X. M. Li and H. X. Yi, Value distribution of
L-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}.
