Search the FAQ Archives

3 - A - B - C - D - E - F - G - H - I - J - K - L - M
N - O - P - Q - R - S - T - U - V - W - X - Y - Z
faqs.org - Internet FAQ Archives

sci.math FAQ: Quaternions


[ Usenet FAQs | Web FAQs | Documents | RFC Index | Business Photos and Profiles ]

See reader questions & answers on this topic! - Help others by sharing your knowledge
Archive-Name: sci-math-faq/Quaternions
Last-modified: December 8, 1994
Version: 6.2




                  THEORY OF QUATERNIONIC ANALYTIC FUNCTIONS



   Four-dimensional analog to the theory of complex analytic functions.
   It was developed in the 1930s by the mathematician Fueter. It is based
   on a generalization of the Cauchy-Riemann equations, since the
   possible alternatives of power series expansions or quaternion
   differentiability do not produce useful theories. A number of useful
   integral theorems follow from the theory. Sudbery provides an
   excellent review. Deavours covers some of the same material less
   thoroughly. Brackx discusses a further generalization to arbitrary
   Clifford algebras.



   References

   Anthony Sudbery. Quaternionic Analysis. Proc. Camb. Phil. Soc., vol.
   85, pp 199-225, 1979.



   Cipher A. Deavours. The Quaternion Calculus. Am. Math. Monthly, vol.
   80, pp 995-1008, 1973.



   Clifford analysis. F. Brackx and R. Delanghe and F. Sommen. Pitman,
   1983.






     _________________________________________________________________



    alopez-o@barrow.uwaterloo.ca
    Tue Apr 04 17:26:57 EDT 1995


User Contributions:

Comment about this article, ask questions, or add new information about this topic:

CAPTCHA


[ Usenet FAQs | Web FAQs | Documents | RFC Index ]

Send corrections/additions to the FAQ Maintainer:
alopez-o@neumann.uwaterloo.ca





Last Update March 27 2014 @ 02:12 PM