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


  • A. Banerjee University of Kalyani, West Bengal, 741235, India
  • S. Bhattacharyya Jangipur Government Polytechnic, West Bengal, 742225, India


Nevanlinna theory, $L$-function, shared value, weighted sharing, differential polynomial, uniqueness
Published online: 2021-06-30


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 due to W.J. Hao, J.F. Chen [Discrete Dyn. Nat. Soc. 2018, 2018, article ID 4673165], F. Liu, X.M. Li, H.X. Yi [Proc. Japan Acad. Ser. A Math. Sci. 2017, 93 (5), 41-46], P. Sahoo, S. Halder [Tbilisi Math. J. 2018, 11 (4), 67-78].

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How to Cite
Banerjee, A.; Bhattacharyya, S. Uniqueness of Certain Differential Polynomial of $L$-Functions and Meromorphic Functions Sharing a Polynomial. Carpathian Math. Publ. 2021, 13, 189-206.