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Reports (Research Report) Year : 1996

Symbolic Asymptotics : Functions of Two Variables, Implicit Functions

Bruno Salvy
John Shackell
  • Function : Author

Abstract

A number of recent papers have been concerned with algorithms to decide the limiting behaviour of functions of a single variable. Here we make a corresponding study of a class of functions of two variables, namely the exp-log functions. As in the one-variable case, we need to make certain assumptions regarding the handling of constants. Two of the main tools in the one-variable case are Hardy fields and nested forms. Here, we show how to compute some asymptotic estimates for two-variable exp-log functions (modulo a constant oracle). This method is then used to give an algorithm for computing the nested forms of real implicit functions.

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Other [cs.OH]
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Dates and versions

inria-00073807 , version 1 (24-05-2006)

Identifiers

  • HAL Id : inria-00073807 , version 1

Cite

Bruno Salvy, John Shackell. Symbolic Asymptotics : Functions of Two Variables, Implicit Functions. [Research Report] RR-2883, INRIA. 1996. ⟨inria-00073807⟩
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