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Generalized holomorphic orthogonal function systems over infinite cylinders
Morais,J.1; Kou,K. I.2; Le,H. T.3
2015-08-01
Source PublicationMathematical Methods in the Applied Sciences
ISSN0170-4214
Volume38Issue:12Pages:2574-2588
AbstractIn 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.
KeywordBessel functions Chebyshev polynomials cylindrical harmonics generalized cylindrical holomorphics hyperbolic functions quaternionic analysis
DOI10.1002/mma.3243
URLView the original
Language英语
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Document TypeJournal article
CollectionUniversity of Macau
Corresponding AuthorMorais,J.
Affiliation1.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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