On the Lojasiewicz exponent at infinity for polynomial functions
Laurentiu Paunescu, Alexandru Zaharia
Abstract
The Lojasiewicz exponent at infinity of an entire function measures of the infimal rate of growth of its gradient. The authors compute the Lojasiewicz exponents at infinity of the 3-variable complex polynomials x - 3 x2n+1 y2q + 2 x3n+1 y3q + y z
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