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Generalized holomorphic orthogonal function systems over infinite cylinders
Morais J.3; Kou K.I.2; Le H.T.1
2015
Source PublicationMathematical Methods in the Applied Sciences
ISSN10991476 01704214
Volume38Issue: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.

KeywordBessel Functions Chebyshev Polynomials Cylindrical Harmonics Generalized Cylindrical Holomorphics Hyperbolic Functions Quaternionic Analysis
DOI10.1002/mma.3243
URLView the original
Indexed BySCIE
Language英語English
WOS Research AreaMathematics
WOS SubjectMathematics, Applied
WOS IDWOS:000357969600011
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Cited Times [WOS]:0   [WOS Record]     [Related Records in WOS]
Document TypeJournal article
CollectionUniversity of Macau
Affiliation1.Technische Universität Bergakademie Freiberg
2.Universidade de Macau
3.Universidade de Aveiro
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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