Abstract

Inspired by a lot of studies on the uniqueness results of a $L$-function with a meromorphic function, in this article, we examine the uniqueness of two differential polynomials, one generated by a meromorphic function with finitely many poles and another by a $L$-function, when they share two values with some weight. The results of our examination extend, generalize as well as improve the results of Hao and Chen [2, 3].

Keywords and Phrases

L-function, linear differential polynomial, sharing values, finite weight, Nevanlinna theory.

A.M.S. subject classification

30D35.

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