Publication Cover
Applicable Analysis
An International Journal
Volume 8, 1979 - Issue 3
80
Views
12
CrossRef citations to date
0
Altmetric
Original Articles

The exponential function of a quaternion variable

Pages 265-276 | Published online: 02 May 2007

References

  • Begehr , H. 1977 . Randwertaufgaben ganzzahliger Charakteristik für verallgemeinerte hyperanalytische Funktionen . Applicable Analysis , 6 : 189 – 205. .
  • Brackx , F. 1976 . “ On (k)-monogenic functions of a quaternion variable, Function theoretic methods in differential equations ” . In Research Notes in Mathematics , Edited by: Gilbert , R. P. and Weinacht , R. J. Vol. 8 , 22 – 24 . Pitman Publishing .
  • Brackx , F. 1976 . “ Non-(k)-monogenic points of functions of a quaternion variable. Function theoretic methods for partial differential equations, ” . In Lecture Notes in Mathematics , Vol. 561 , 138 – 149. . Springer-Verlag .
  • Brackx F. (k)-Monogeneity at infinity for functions of a quaternion variable (to appear in Simon Stevin)
  • Douglis , A. 1953 . A function-theoretic approach to elliptic systems of equations in two variables . Comm. Pure and Appl Maths. , 6 : 259 – 289. .
  • Fueter , R. 1931 . Analytische Funktionen einer Quaternionen-variablen, . Comm. Math. Helv. , 4 : 9
  • Fueter , R. 1935 . Über die analytische Darstellung der regularen Funktionen einer . Comm. Math. Helv. , 8 : 371 – 378 .
  • Futagawa , M. 1928 . On the theory of functions of a quaternary variable, I, II . T∘hoku Mathematical Journal , 29 : 175 – 222 . 35 (1935), 371-378.
  • Gilbert , R. P. and Hile , G. 1974 . Generalized hypercomplex function theory. . Transactions Am.Math, Soc. , 195 : 1 – 29 .
  • Göllnitz , E. 1928 . Beiträge zur Quaternionentheorie, Akademie der Wissenschaften in Wien, mathematische-naturwissenschaftliche Klasse, Sitzungsberichte . 137 : 157 – 188 .
  • Ketchum , P. W. 1929 . A complete solution of Laplace's equation by an infinite hypervariable . American Journal of Maths , 51 : 179 – 188 .
  • Snyder , H. H. 1968. . “ A hypercomplex function-theory associated with Laplace's equations, ” . Berlin : VEB Deutscher Verlag der 'Wissenschaften .

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.