manuscripta mathematica

, Volume 113, Issue 3, pp 383–395 | Cite as

Taylor polynomials and non-homogeneous blow-ups

  • Silvano DelladioEmail author


The graph of a function f is subjected to non-homogeneous dilatations around (x 0 ;f(x 0 )), related to the Taylor expansion of f at x 0 . Some natural questions about convergence are considered and answered. Finally, it is provided a counterexample to a statement which was presumed to be true in former literature.


Taylor Expansion Natural Question Taylor Polynomial 
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Copyright information

© Springer-Verlag Berlin Heidelberg 2004

Authors and Affiliations

  1. 1.Department of MathematicsUniversity of TrentoTrentoItaly

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