Orthogonal Appell Bases in Dimensions 2, 3 and 4
Abstract
This article is concerned with an uniform approach for the explicit construction of orthogonal Appell bases of inner and outer solid spherical monogenics in dimensions 2, 3 and 4. The resulting function systems possess special properties with regard to the (hyper-)complex derivation and find direct applications in the definition of generalized Taylor & Laurent series expansions.
- Publication:
-
Icnaam 2010: International Conference of Numerical Analysis and Applied Mathematics 2010
- Pub Date:
- September 2010
- DOI:
- 10.1063/1.3498028
- Bibcode:
- 2010AIPC.1281.1447B
- Keywords:
-
- Lie algebras;
- series (mathematics);
- partial differential equations;
- integral equations;
- 02.20.Sv;
- 02.30.Lt;
- 02.30.Jr;
- 02.30.Rz;
- Lie algebras of Lie groups;
- Sequences series and summability;
- Partial differential equations;
- Integral equations