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Monotonicity theorems for analytic functions centered at infinity

✍ Scribed by Cleanthous, Galatia


Book ID
125845148
Publisher
American Mathematical Society
Year
2014
Tongue
English
Weight
161 KB
Volume
142
Category
Article
ISSN
0002-9939

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On analytic equivalence of functions at
✍ Grzegorz Skalski πŸ“‚ Article πŸ“… 2011 πŸ› Elsevier Science 🌐 French βš– 143 KB

In this paper we define the relation of analytic equivalence of functions at infinity. We prove that if the Łojasiewicz exponent at infinity of the gradient of a polynomial f ∈ R[x 1 , . . . , x n ] is greater or equal to k -1, then there exists Ρ > 0 such that for every polynomial P ∈ R[x 1 , . . .