Asymptotic Expansions of exp-log Functions

Daniel Richardson , Bruno Salvy (1) , John Shackell , Joris van der Hoeven

1 ALGO - Algorithms

We give an algorithm to compute asymptotic expansions of exp-log functions. This algorithm automatically computes the necessary asymptotic scale and does not suffer from problems of indefinite cancellation. In particular, an asymptotic equivalent can always be computed for a given exp-log function.

Domaines: Autre [cs.OH]

Daniel Richardson, Bruno Salvy, John Shackell, Joris van der Hoeven. Asymptotic Expansions of exp-log Functions. [Research Report] RR-2859, INRIA. 1996. ⟨inria-00073832⟩