In this paper, we study a uniqueness question of meromorphic functions of certain differential polynomials that share a nonzero finite value or have the same fixed points with the same of L-functions. The results in this paper extend the corresponding results from Steuding [12, p. 152], Li , Fang  and Yang-Hua .
"Value distribution of L-functions concerning shared values and certain differential polynomials." Proc. Japan Acad. Ser. A Math. Sci. 93 (5) 41 - 46, May 2017. https://doi.org/10.3792/pjaa.93.41