| Abstrakt: |
The L-functions with Riemann zeta function and its various generalizations have been widely examined by mathematicians worldwide. L-functions are analytically continued as meromorphic functions and L-functions are Selberg class functions, with the Riemann zeta function serving as the prototype. It is convenient to study the value distribution and uniqueness problems on L-functions and arbitrary meromorphic functions. Additionally, we can better examine some of the classical results, since L-functions only have a possible pole at z = 1. In this paper, by using the concept of weakly weighted sharing, we study the value distribution of a L-function and an arbitrary meromorphic function when certain type of homogeneous differential polynomials ζnQ(ζ) and LnQ(L) share ω(ρ, ι). Our results extends and generalizes some recent results due to X. M. Li et al.(Filomat 33:18, 2019, 5767-5776). [ABSTRACT FROM AUTHOR] |
