In this paper, we study the value distributions of L-functions in the extended Selberg class. We prove two theorems which shows how difference differential polynomials of L-functions and difference differential polynomials of meromorphic functions uniquely determined concerning weighted sharing of small or rational functions. Our results improve and generalize some recent results due toW. J. Hao, J. F. Chen 3,W. Q. Zhu, J. F. Chen 16 and N. Mandal, N. K. Datta 10.
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