| Status | 已發表Published |
| Generalized holomorphic Szego kernel in 3D spheroids | |
Morais, J. ; Kou, K. I.; Sprößig , W.
| |
| 2013-02-01 | |
| Source Publication | Computers and Mathematics with Applications
 |
| ISSN | 0898-1221 |
| Pages | 576-588 |
| Abstract | Monogenic orthogonal polynomials over 3D prolate spheroids were previously introduced and shown to have some remarkable properties. In particular, the underlying functions take values in the quaternions (identified with R4), and are generally assumed to be nullsolutions of the well known Moisil–Théodoresco system. In this paper, we show that these polynomial functions play an important role in defining the Szegö kernel function over the surface of 3D (prolate) spheroids. As a concrete application, we prove an explicit expression of the monogenic Szegö kernel function over 3D (prolate) spheroids and present two numerical examples. |
| Keyword | Quaternion analysis Ferrer’s associated Legendre functions Chebyshev polynomials Hyperbolic functions Prolate spheroidal monogenics Szegö kernel function |
| Language | 英語English |
| The Source to Article | PB_Publication |
| PUB ID | 10680 |
| Document Type | Journal article |
| Collection | University of Macau |
| Corresponding Author | Morais, J. |
| Recommended Citation GB/T 7714 | Morais, J.,Kou, K. I.,Sprößig , W.. Generalized holomorphic Szego kernel in 3D spheroids[J]. Computers and Mathematics with Applications, 2013, 576-588. |
| APA | Morais, J.., Kou, K. I.., & Sprößig , W. (2013). Generalized holomorphic Szego kernel in 3D spheroids. Computers and Mathematics with Applications, 576-588. |
| MLA | Morais, J.,et al."Generalized holomorphic Szego kernel in 3D spheroids".Computers and Mathematics with Applications (2013):576-588. |
| Files in This Item: | There are no files associated with this item. | |||||
Items in the repository are protected by copyright, with all rights reserved, unless otherwise indicated.
Edit Comment