Asymptotique dans un corps de Hardy

François Blais

Annales de la Faculté des sciences de Toulouse : Mathématiques (1997)

  • Volume: 6, Issue: 1, page 77-103
  • ISSN: 0240-2963

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Blais, François. "Asymptotique dans un corps de Hardy." Annales de la Faculté des sciences de Toulouse : Mathématiques 6.1 (1997): 77-103. <http://eudml.org/doc/73413>.

@article{Blais1997,
author = {Blais, François},
journal = {Annales de la Faculté des sciences de Toulouse : Mathématiques},
keywords = {asymptotic problems; inversion of functions; Hardy field of exp-log-functions},
language = {fre},
number = {1},
pages = {77-103},
publisher = {UNIVERSITE PAUL SABATIER},
title = {Asymptotique dans un corps de Hardy},
url = {http://eudml.org/doc/73413},
volume = {6},
year = {1997},
}

TY - JOUR
AU - Blais, François
TI - Asymptotique dans un corps de Hardy
JO - Annales de la Faculté des sciences de Toulouse : Mathématiques
PY - 1997
PB - UNIVERSITE PAUL SABATIER
VL - 6
IS - 1
SP - 77
EP - 103
LA - fre
KW - asymptotic problems; inversion of functions; Hardy field of exp-log-functions
UR - http://eudml.org/doc/73413
ER -

References

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  1. [B] Borel ( E.) .— Leçons sur la théorie de la croissance, Gauthier-Villars, Paris, 1910. Zbl41.0459.02MR33328JFM41.0459.02
  2. [Bo] Bourbaki ( N.) .— Éléments de Mathématiques, chap. V (Fonctions d'une variable réelle), Hermann, Paris, 1951, seconde édition 1961. MR580296
  3. [Br] De Bruijn ( N.G.) .— Asymptotic method in analysis, North-Holland Publishing Company, Amsterdam, London, Third edition (1970). 
  4. [DD] Deledick ( A.) ET Diener ( M.) .— Leçons de calcul infinitésimal, Armand Colin, Paris, Collection U (1989). 
  5. [DR] Diener ( F.) et Reeb ( G.) .— Analyse non standard, Herman, Collection Enseignement des sciences, Paris, 1989. Zbl0682.26010MR1026099
  6. [DVdB] Diener ( M.) et Van Der Berg ( I.P.) .— Halos et galaxies, une extension du lemme de Robinson, Comptes Rendus de l'Académie des Sciences de Paris, 293 (1981), pp. 385-388. MR641092
  7. [H1] Hardy ( G.H.) .— Orders of infinity, Cambridge Tracts in Mathematics12 (1910). JFM41.0303.01
  8. [H2] Hardy ( G.H.) .— Properties of logarithmo-exponential functions, Proceedings of the London Mathematical Society10, n° 2 (1911), pp. 54-90. JFM42.0437.02
  9. [N] Nelson ( E.) .— Internal set theory: a new approach to non-standard analysis, Bulletin American Society83, n° 6 (1977), pp. 1165-1198. Zbl0373.02040MR469763
  10. [R1] Rosenlicht ( M.) . — Hardy fields, Journal of Mathematical Analysis and Applications93 (1983), pp. 297-311. Zbl0518.12014MR700146
  11. [R2] Rosenlicht ( M.) .— The rank of a Hardy field, Transactions of the American Mathematical Society280, n° 2 (1983), pp. 659-671. Zbl0536.12015MR716843
  12. [R3] Rosenlicht ( M.) .— Rank change on adjoining real powers to Hardy fields, Transactions of the American Mathematical Society284, n° 2 (1984), pp. 829-836. Zbl0544.34052MR743747
  13. [R4] Rosenlicht ( M.) . — Growth properties of functions in Hardy fields, Transactions of the American Mathematical Society299, n° 1 (1987), pp. 261-272. Zbl0619.34057MR869411
  14. [Sa] Salvy ( B.) . — Asymptotique automatique et fonctions génératrices, Thèse École Polytechnique, 1991. 
  15. [SaS] Salvy ( B.) et Shackell ( J.) .— Asymptotic expansions of functional inverses, Proceedings ISSAC'92, P. Wang éd., ACM Press, 1992. Zbl0964.68585
  16. [S1] Shackell ( J.) .— Extensions of asymptotics fields via meromorphic functions, Journal of London Mathematical Society (2) 52, n° 2 (1995), pp. 356-374. Zbl0852.26003MR1356148
  17. [S2] Shackell ( J.) .— Limits of Liouvillian functions, Proceedings of the London Mathematical Society (3) 72, n° 1 (1996), pp. 124-156. Zbl0845.26001MR1357090

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