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The q‐Difference Theorems for Meromorphic Functions of Several Variables

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  • Zhi-Tao Wen

Abstract

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.

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Handle: RePEc:wly:jnlaaa:v:2014:y:2014:i:1:n:736021
DOI: 10.1155/2014/736021
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