English

On the Lojasiewicz exponent at infinity for polynomial functions

Complex Variables 2009-09-25 v1

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 x^{2n+1} y^{2q} + 2 x^{3n+1} y^{3q} + y z

Cite

@article{arxiv.math/9707230,
  title  = {On the Lojasiewicz exponent at infinity for polynomial functions},
  author = {Laurentiu Paunescu and Alexandru Zaharia},
  journal= {arXiv preprint arXiv:math/9707230},
  year   = {2009}
}

Comments

Abstract added in migration.