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

Abhijit Banerjee; Saikat Bhattacharyya

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arXiv · 2008.09350

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

Abhijit Banerjee·Saikat Bhattacharyya

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Abstract

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}.

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Abhijit Banerjee, Saikat Bhattacharyya. 2020-08-21. Uniqueness of certain differential polynomial of L-functions and meromorphic functions sharing a polynomial. https://arxiv.org/abs/2008.09350

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