On the Lojasiewicz exponent at infinity for polynomial functions

1997/07/01 by Paunescu, Laurentiu, Zaharia, Alexandru
#Complex Variables (math.CV) #FOS: Mathematics

paper · doi:10.48550/arxiv.math/9707230

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 y^2q + 2 x³ⁿ⁺¹ y^3q + y z

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