Affiliated with RC | false |
Status | 已發表Published |
Generalized holomorphic orthogonal function systems over infinite cylinders | |
Morais，J.1; Kou，K. I.2; Le，H. T.3 | |
2015-08-01 | |
Source Publication | Mathematical Methods in the Applied Sciences |
ISSN | 0170-4214 |
Volume | 38Issue:12Pages:2574-2588 |
Abstract | In this paper we construct two distinct generalized holomorphic orthogonal function systems over infinite cylinders in R3. Explicit representation formulae and properties of the obtained basis functions are given. As an application, we present some plot simulations that illustrate the results of this work. |
Keyword | Bessel functions Chebyshev polynomials cylindrical harmonics generalized cylindrical holomorphics hyperbolic functions quaternionic analysis |
DOI | 10.1002/mma.3243 |
URL | View the original |
Language | 英語English |
Scopus ID | 2-s2.0-84937022657 |
Fulltext Access | |
Citation statistics | |
Document Type | Journal article |
Collection | DEPARTMENT OF MATHEMATICS |
Corresponding Author | Morais，J. |
Affiliation | 1.Center for Research and Development in Mathematics and Applications, Department of Mathematics, University of Aveiro,Aveiro,3810-193,Portugal 2.Department of Mathematics, Faculty of Science and Technology, University of Macau,Macao 3.Technical University of Mining,Freiberg,Germany |
Recommended Citation GB/T 7714 | Morais，J.,Kou，K. I.,Le，H. T.. Generalized holomorphic orthogonal function systems over infinite cylinders[J]. Mathematical Methods in the Applied Sciences,2015,38(12):2574-2588. |
APA | Morais，J.,Kou，K. I.,&Le，H. T..(2015).Generalized holomorphic orthogonal function systems over infinite cylinders.Mathematical Methods in the Applied Sciences,38(12),2574-2588. |
MLA | Morais，J.,et al."Generalized holomorphic orthogonal function systems over infinite cylinders".Mathematical Methods in the Applied Sciences 38.12(2015):2574-2588. |
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