U-Dérivation

Daniel Duverney

Annales de la Faculté des sciences de Toulouse : Mathématiques (1993)

  • Volume: 2, Issue: 3, page 323-335
  • ISSN: 0240-2963

How to cite

top

Duverney, Daniel. "U-Dérivation." Annales de la Faculté des sciences de Toulouse : Mathématiques 2.3 (1993): 323-335. <http://eudml.org/doc/73324>.

@article{Duverney1993,
author = {Duverney, Daniel},
journal = {Annales de la Faculté des sciences de Toulouse : Mathématiques},
keywords = {-derivation; formal power series; -sequence; linear recursion; analog of Taylor expansion; polynomials having -zeros of higher order},
language = {fre},
number = {3},
pages = {323-335},
publisher = {UNIVERSITE PAUL SABATIER},
title = {U-Dérivation},
url = {http://eudml.org/doc/73324},
volume = {2},
year = {1993},
}

TY - JOUR
AU - Duverney, Daniel
TI - U-Dérivation
JO - Annales de la Faculté des sciences de Toulouse : Mathématiques
PY - 1993
PB - UNIVERSITE PAUL SABATIER
VL - 2
IS - 3
SP - 323
EP - 335
LA - fre
KW - -derivation; formal power series; -sequence; linear recursion; analog of Taylor expansion; polynomials having -zeros of higher order
UR - http://eudml.org/doc/73324
ER -

References

top
  1. [1] Benghazou ( B.) .— Algèbre de Hadamard, Bull. Soc. Math. France28 (1970), pp. 209-252. Zbl0206.33203MR284431
  2. [2] Bézivin ( J.-P.) .— Sur les propriétés arithmétiques du produit de Hadamard, Annales de la Faculté des Sciences de Toulouse, vol. XI, n° 1 (1990). Zbl0717.11018MR1191469
  3. [3] Bieberbach ( L.) .— Analytische Fortsetzung, Springer-Verlag (1955). Zbl0064.06902MR68621
  4. [4] Borwein ( P.) .— Fadé Approximants for the q-Elementary Functions, Constr. Approx4 (1988), pp. 391-402. Zbl0685.41015MR956175
  5. [5] Cohn ( P.-M.). — Free Rings and their Relations, Academic Press (1985). Zbl0659.16001MR800091
  6. [6] Ehrhart ( E.) .— Les entiers d'Euler, Bulletin de l'A.P.M.E.P.323 (1980), pp. 217-226. 
  7. [7] Exton ( H.) .— q-hypergeometric functions and applications, Chichester (1983). Zbl0514.33001MR708496
  8. [8] Gaspar ( G.) et Rahman ( M.). — Basic Hypergeometric Series, Cambridge University Press (1990). Zbl0695.33001MR1052153
  9. [9] Gordan ( P.) . — Transcendenz von e und π, Math. Annalen43 (1893), pp. 222-224. JFM25.0734.04
  10. [10] Hellegouarch ( Y.) .— Calcul différentiel galoisien, Prépublication n° 42, Dépt de Math. et Mécanique, Université de Caen (1989). 
  11. [11] Jackson ( F.-H.) .— q-difference équations, Amer. J. Math.32 (1910), pp. 305-314. Zbl41.0502.01JFM41.0502.01
  12. [12] Kaplanski ( I.). — An introduction to differential Algebra, Hermann (1957). Zbl0083.03301MR93654
  13. [13] Van Der Waerden ( B.L.) .— Modern Algebra, Frederick Ungar Publishing Co. (1949). Zbl0039.00902MR29363
  14. [14] Walliser ( R.) .— Rationale Approximation des q-Analogons der Exponentialfunktion und Irrationalitätsaussagen für diese Funktion, Arch. Math., vol. 44 (1985), pp. 59-64. Zbl0558.33004MR778992
  15. [15] Ward ( M.) . - A calculus of sequences, Amer. J. Math.58 (1936), pp. 255-266. Zbl62.0408.03JFM62.0408.03

NotesEmbed ?

top

You must be logged in to post comments.

To embed these notes on your page include the following JavaScript code on your page where you want the notes to appear.

Only the controls for the widget will be shown in your chosen language. Notes will be shown in their authored language.

Tells the widget how many notes to show per page. You can cycle through additional notes using the next and previous controls.

    
                

Note: Best practice suggests putting the JavaScript code just before the closing </body> tag.