Abstract

We investigateq-shift analogue of the lemma on logarithmic derivative of several variables. Letfbe a meromorphic function inℂnof zero order such thatf(0)≠0,∞, and letq∈ℂn\{0}. Then we havem(r,f(qz)/f(z))=o(T(r,f))on a set of logarithmic density 1. Theq-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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