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The q-Difference Theorems for Meromorphic Functions of Several Variables
oleh: Zhi-Tao Wen
Format: | Article |
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Diterbitkan: | Hindawi Limited 2014-01-01 |
Deskripsi
We investigate q-shift analogue of the lemma on logarithmic derivative of several variables. Let f be a meromorphic function in ℂn of zero order such that f(0)≠0, ∞, and let q∈ℂn\{0}. Then we have m(r,f(qz)/f(z))=o(T(r,f)) on a set of logarithmic density 1. The q-shift analogue of the first and the second main theorems of Nevanlinna theory of several variables and their applications is also shown.