Comparative Growth Properties of Entire and Meromorphic Functions concerning Relative (α,β,γ)-order
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Belaïdi et al. [3] have introduced the idea (α,β,γ)-order and (α,β,γ)-lower order of meromorphic function, where α∈L₁-class, β∈L₂-class, γ∈L₃-class. In order to make some progresses in the study of growth analysis of meromorphic functions, here in this paper, we have discussed on the relative (α,β,γ)-order and relative (α,β,γ)-lower order of a meromorphic function with respect to an entire function. Then we have investigated some basic properties of meromorphic functions using these definitions under somewhat different conditions.
Abstract
Belaïdi et al. [3] have introduced the idea (α,β,γ)-order and (α,β,γ)-lower order of meromorphic function, where α∈L₁-class, β∈L₂-class, γ∈L₃-class. In order to make some progresses in the study of growth analysis of meromorphic functions, here in this paper, we have discussed on the relative (α,β,γ)-order and relative (α,β,γ)-lower order of a meromorphic function with respect to an entire function. Then we have investigated some basic properties of meromorphic functions using these definitions under somewhat different conditions.