Séries de q -factorielles, opérateurs aux q -différences et confluence

Anne Duval

Annales de la Faculté des sciences de Toulouse : Mathématiques (2003)

  • Volume: 12, Issue: 3, page 335-374
  • ISSN: 0240-2963

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Duval, Anne. "Séries de $q$-factorielles, opérateurs aux $q$-différences et confluence." Annales de la Faculté des sciences de Toulouse : Mathématiques 12.3 (2003): 335-374. <http://eudml.org/doc/73607>.

@article{Duval2003,
author = {Duval, Anne},
journal = {Annales de la Faculté des sciences de Toulouse : Mathématiques},
language = {fre},
number = {3},
pages = {335-374},
publisher = {Université Paul Sabatier, Institut de Mathématiques},
title = {Séries de $q$-factorielles, opérateurs aux $q$-différences et confluence},
url = {http://eudml.org/doc/73607},
volume = {12},
year = {2003},
}

TY - JOUR
AU - Duval, Anne
TI - Séries de $q$-factorielles, opérateurs aux $q$-différences et confluence
JO - Annales de la Faculté des sciences de Toulouse : Mathématiques
PY - 2003
PB - Université Paul Sabatier, Institut de Mathématiques
VL - 12
IS - 3
SP - 335
EP - 374
LA - fre
UR - http://eudml.org/doc/73607
ER -

References

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  1. [1] Adams ( C.R. ), Linear q-difference Equations, Bull. AMS (1931), 361-400. Zbl0002.19103JFM57.0534.05
  2. [2] Gasper ( G. ), Elementary Derivations of Summation and Transformation Formulas for q-Series, Fields Inst. Comm.14, p. 55-70 (1997). Zbl0873.33013MR1448679
  3. [3] Gérard ( R. ), Lutz ( D.A.), Convergent factorial series solutions of singular operator equations, Analysis10, 99-145 (1990). Zbl0712.39016MR1074828
  4. [4] Harris ( W.A.) Jr., Analytic theory of difference equations in Analytic theory of differential equations, Lecture Notes in Mathematics, 183, Springer, Berlin197146-58. Zbl0232.39001MR390565
  5. [5] Jackson ( F.H. ), q-difference Equations, Am. J. Math.32, p. 305-315 (1910). MR1506108JFM41.0502.01
  6. [6] Nörlund ( N.-E. ), Leçons sur les séries d'interpolation , Gauthier-Villars, Paris1926. JFM52.0301.04
  7. [7] Postnikov ( M. ), Leçons de géométrie, Groupes et algèbres de Lie, Editions MIR1985. MR831660
  8. [8] Ramis ( J.-P. ), About the growth of entire functions solutions of linear algebraic q-difference equations, Ann. Fac. Sciences de Toulouse, Série 6, 1, p. 53-94 (1992) Zbl0796.39005MR1191729
  9. [9] Sauloy ( J. ), Systèmes aux q-différences singuliers réguliers : classification, matrice de connexion et monodromie, Ann. Inst. Fourier50, p. 1021-1071 (2000 ). Zbl0957.05012MR1799737

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