Keywords
- Bijective Mapping
- Zero Divisor
- Projection Parallel
- Cauchy Integral Formula
- Riemann Equation
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.
This is a preview of subscription content, access via your institution.
Buying options
Tax calculation will be finalised at checkout
Purchases are for personal use only
Learn about institutional subscriptionsPreview
Unable to display preview. Download preview PDF.
References
J. Horvath, A Generalization of the Cauchy-Riemann Equations, Contributions to Differential Equations, Volume I, Interscience Publishers, 1963, 39–58.
J. Edenhofer, Analytische Funktionen auf Algebren, TU München, 1973, Dissertation.
W. Eichhorn, Funktionentheorie in Algebren über dem reellen Zahlenkörper und ihre Anwendung auf partielle Differentialgleichungen, Würzburg, 1961, Dissertation.
R. Fueter, Über die analytische Darstellung der regulären Funktionen einer Quaternionenvariablen, Comment. Math. Helvet., 8,1935, 371.
O.D. Kellogg, Harmonic functions and Greens integral, Transactions of the Americ. Math. Society 13, 1912, 109–132.
E. Lammel, Über eine zur Differentialgleichung \((a_O \tfrac{{\partial ^n }}{{\partial x^n }} + a_1 \tfrac{{\partial ^n }}{{\partial x^{n - 1} \partial y}} + ... + \tfrac{{\partial ^n }}{{\partial x^n }})\) U(x,y)=O gehörige Funktionentheorie I, Math. Ann. 122, 1950/51, 109–126.
L. Sobrero, Theorie der ebenen Elastizität, 1934, B.G. Teubner.
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 1976 Springer-Verlag
About this paper
Cite this paper
Edenhofer, J. (1976). A solution of the biharmonic dirichlet problem by means of hypercomplex analytic functions. In: Meister, V.E., Wendland, W.L., Weck, N. (eds) Function Theoretic Methods for Partial Differential Equations. Lecture Notes in Mathematics, vol 561. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0087636
Download citation
DOI: https://doi.org/10.1007/BFb0087636
Published:
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-08054-1
Online ISBN: 978-3-540-37536-4
eBook Packages: Springer Book Archive
