Abstract
We consider the set F = {p(z)x +q(y;z);p ∈ C(z)r {0};q ∈ C(y;z)}. We connect algebraic properties of a polynomial f ∈ F, such that f is a variable in C(x;y;z) or f is a tame variable in C(z)(x;y) with the Lojasiewicz exponent at innity of f. We compute this exponent for some polynomials of F.
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