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Theorems on the functional limits of derivatives of a function at infinity

✍ Scribed by Iyengar, K. S. K.

Book ID
112977511
Publisher
Springer-Verlag
Year
1938
Tongue
English
Weight
404 KB
Volume
7
Category
Article
ISSN
0370-0089

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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 , . . .