Hermite and Gegenbauer polynomials in superspace using Clifford analysis
β Scribed by Bie, H De; Sommen, F
- Book ID
- 121405373
- Publisher
- IOP Publishing
- Year
- 2007
- Tongue
- English
- Weight
- 175 KB
- Volume
- 40
- Category
- Article
- ISSN
- 1751-8113
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π SIMILAR VOLUMES
## Communicated by K. GΓΌrlebeck Convergence properties of hypercomplex derivative bases of special monogenic polynomials are studied. These new results extend and improve a lot of known works from the complex case to Clifford setting.
## Communicated by K. Guerlebeck An explicit algorithmic construction is given for orthogonal bases for spaces of homogeneous polynomials, in the context of Hermitean Clifford analysis, which is a higher dimensional function theory centered around the simultaneous null solutions of two Hermitean c
## Abstract Several methods have been used for the study of a ridged waveguide. In this paper, we propose the use of Gegenbauer polynomials in the decomposition of the electromagnetic field near the edges of the septum, for the computation of cutβoff frequencies and electromagnetic TE and TM fields