A Measure of Linear Independence for Some Exponential Functions II
Canadian journal of mathematics, Tome 31 (1979) no. 2, pp. 341-346

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This paper continues the investigations in [1] and [2] and extends the results of the latter paper to functions of several complex variables. Namely let λ : R>0 —> R>0 be monotonically increasing. (If λ is non-constant, we also require that log r = 0(λ(r)). We write / = 0(g) to mean that there is a constant C > 0 such that f(r) ≦ Cg(r) except possibly on a set of intervals of finite total length.) Let 0\ denote the set of meromorphic / on Cn for which the Nevanlinna characteristic function [5, p. 174] T(f, r) satisfies T(f, r) = 0(λ(r)).
Brownawell, W. Dale. A Measure of Linear Independence for Some Exponential Functions II. Canadian journal of mathematics, Tome 31 (1979) no. 2, pp. 341-346. doi: 10.4153/CJM-1979-038-6
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