85
Views
0
CrossRef citations to date
0
Altmetric
Original Articles

Analyticity without differentiability

&
Pages 587-599 | Received 17 Nov 2006, Published online: 18 Jun 2008

References

  • Sussmann , HJ . 1990 . “ Why real analyticity is important in control theory ” . In Nonlinear Controllability and Optimal Control , Edited by: Sussmann , HJ . 315 – 340 . New York : Marcel Dekker .
  • Kirillova , E and Spindler , K . 2004 . Optimal Control of a Vehicle During Parking, in Proc. Conf. Nonlinear Control Systems , Stuttgart : Elsevier Science .
  • Spindler , K . 2002 . Attitude maneuvers which avoid a forbidden direction . Journal of Dynamical and Control Systems , 8 ( 1 ) : 1 – 22 .
  • Krantz , SG and Parks , HA . 1992 . A Primer of Real Analytic Functions , Basel, Boston, Berlin : Birkhäuser-Verlag .
  • Fichtenholz , GM . 1997 . Course on Differential and Integral Calculus , Vol. 2 , St. Petersburg : Lan .
  • Dieudonné , J . 1960 . Foundations of Modern Analysis , New York : Academic Press .
  • Ruiz , JM . 1993 . The Basic Theory of Power Series , Braunschweig, Wiesbaden : Verlag Friedrich Vieweg & Sohn .
  • Niven , I . 1969 . Formal power series . American Mathematical Monthly , 76 : 871 – 889 .
  • Jeger , M . 1976 . Einführung in die Kombinatorik (Band 2) , Stuttgart : Verlag Ernst Klett .
  • Spindler , K . 2005 . A short proof of the formula of Faà di Bruno . Elemente der Mathematik , 60 ( 1 ) : 33 – 35 .
  • Brillinger , DR . 1966 . The analyticity of the roots of a polynomial as a function of the coefficients . Mathematics Magazine , 39 : 145 – 147 .
  • André , D . 1879 . Dévelopements de sec x et de tang x . Comptes Rendus de l'Académie des Sciences de Paris , 88 : 965 – 967 .
  • André , D . 1881 . Sur les permutations alternées . Journal des Mathématiques Pures et Appliquées , 7 : 167 – 184 .
  • Melzak , ZA . 1973 . Companion to Concrete Mathematics , New York, London, Sydney, Toronto : John Wiley & Sons .

Reprints and Corporate Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

To request a reprint or corporate permissions for this article, please click on the relevant link below:

Academic Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

Obtain permissions instantly via Rightslink by clicking on the button below:

If you are unable to obtain permissions via Rightslink, please complete and submit this Permissions form. For more information, please visit our Permissions help page.