Lemma 2.12 . [040E]

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Lemma 2.12.

Any algebraic function $f$ on $\mathbb{C}^{3}$ satisfies the growth estimate

(2.18)

|f|\leq K_{1}e^{K_{2}(|\mu_{1}|+|\mu_{2}|)}(|\eta|+1)^{K_{3}}.

for some constants $K_{1},K_{2},K_{3}$ depending on $f$ .